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Finding the Fourth Proportional to 1,029.57, 1,544.30 and 452.25

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Solution

The fourth proportional to 1,029.57, 1,544.30 and 452.25 is: 678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.57 : 1,544.30 = 452.25 : x
  2. Step 2: Convert to fraction form
    1,029.57/1,544.30 = 452.25/x
  3. Step 3: Cross multiply
    1,029.57x = 1,544.30 × 452.25
  4. Step 4: Simplify right side
    1,029.57x = 698,407.41
  5. Step 5: Solve for x
    x = 698,407.41/1,029.57
  6. Step 6: Final answer
    x = 678.35

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Half scale
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Double scale
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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.