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Finding the Fourth Proportional to 1,434.02, 2,151.03 and 509.07

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Solution

The fourth proportional to 1,434.02, 2,151.03 and 509.07 is: 763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.02 : 2,151.03 = 509.07 : x
  2. Step 2: Convert to fraction form
    1,434.02/2,151.03 = 509.07/x
  3. Step 3: Cross multiply
    1,434.02x = 2,151.03 × 509.07
  4. Step 4: Simplify right side
    1,434.02x = 1,095,024.84
  5. Step 5: Solve for x
    x = 1,095,024.84/1,434.02
  6. Step 6: Final answer
    x = 763.61

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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.