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Finding the Fourth Proportional to 656.91, 907.84 and 538.70

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Solution

The fourth proportional to 656.91, 907.84 and 538.70 is: 744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.91 : 907.84 = 538.70 : x
  2. Step 2: Convert to fraction form
    656.91/907.84 = 538.70/x
  3. Step 3: Cross multiply
    656.91x = 907.84 × 538.70
  4. Step 4: Simplify right side
    656.91x = 489,047.52
  5. Step 5: Solve for x
    x = 489,047.52/656.91
  6. Step 6: Final answer
    x = 744.47

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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.