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Finding the Fourth Proportional to 501.30, 688.37 and 402.30

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Solution

The fourth proportional to 501.30, 688.37 and 402.30 is: 552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 688.37 = 402.30 : x
  2. Step 2: Convert to fraction form
    501.30/688.37 = 402.30/x
  3. Step 3: Cross multiply
    501.30x = 688.37 × 402.30
  4. Step 4: Simplify right side
    501.30x = 276,929.24
  5. Step 5: Solve for x
    x = 276,929.24/501.30
  6. Step 6: Final answer
    x = 552.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.