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Finding the Fourth Proportional to 526.38, 793.13 and 437.07

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Solution

The fourth proportional to 526.38, 793.13 and 437.07 is: 658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.38 : 793.13 = 437.07 : x
  2. Step 2: Convert to fraction form
    526.38/793.13 = 437.07/x
  3. Step 3: Cross multiply
    526.38x = 793.13 × 437.07
  4. Step 4: Simplify right side
    526.38x = 346,656.58
  5. Step 5: Solve for x
    x = 346,656.58/526.38
  6. Step 6: Final answer
    x = 658.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.