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Finding the Fourth Proportional to 697.66, 961.62 and 557.52

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Solution

The fourth proportional to 697.66, 961.62 and 557.52 is: 768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.66 : 961.62 = 557.52 : x
  2. Step 2: Convert to fraction form
    697.66/961.62 = 557.52/x
  3. Step 3: Cross multiply
    697.66x = 961.62 × 557.52
  4. Step 4: Simplify right side
    697.66x = 536,122.38
  5. Step 5: Solve for x
    x = 536,122.38/697.66
  6. Step 6: Final answer
    x = 768.46

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1.5x scale

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.