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Finding the Fourth Proportional to 526.28, 785.37 and 462.29

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Solution

The fourth proportional to 526.28, 785.37 and 462.29 is: 689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.28 : 785.37 = 462.29 : x
  2. Step 2: Convert to fraction form
    526.28/785.37 = 462.29/x
  3. Step 3: Cross multiply
    526.28x = 785.37 × 462.29
  4. Step 4: Simplify right side
    526.28x = 363,071.64
  5. Step 5: Solve for x
    x = 363,071.64/526.28
  6. Step 6: Final answer
    x = 689.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.