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Finding the Fourth Proportional to 1,029.02, 1,543.51 and 249.01

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Solution

The fourth proportional to 1,029.02, 1,543.51 and 249.01 is: 373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.02 : 1,543.51 = 249.01 : x
  2. Step 2: Convert to fraction form
    1,029.02/1,543.51 = 249.01/x
  3. Step 3: Cross multiply
    1,029.02x = 1,543.51 × 249.01
  4. Step 4: Simplify right side
    1,029.02x = 384,349.43
  5. Step 5: Solve for x
    x = 384,349.43/1,029.02
  6. Step 6: Final answer
    x = 373.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.