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Finding the Fourth Proportional to 763.29, 1,052.73 and 530.01

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Solution

The fourth proportional to 763.29, 1,052.73 and 530.01 is: 730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.29 : 1,052.73 = 530.01 : x
  2. Step 2: Convert to fraction form
    763.29/1,052.73 = 530.01/x
  3. Step 3: Cross multiply
    763.29x = 1,052.73 × 530.01
  4. Step 4: Simplify right side
    763.29x = 557,957.43
  5. Step 5: Solve for x
    x = 557,957.43/763.29
  6. Step 6: Final answer
    x = 730.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.