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Finding the Fourth Proportional to 551.61, 756.95 and 502.61

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Solution

The fourth proportional to 551.61, 756.95 and 502.61 is: 689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.61 : 756.95 = 502.61 : x
  2. Step 2: Convert to fraction form
    551.61/756.95 = 502.61/x
  3. Step 3: Cross multiply
    551.61x = 756.95 × 502.61
  4. Step 4: Simplify right side
    551.61x = 380,444.34
  5. Step 5: Solve for x
    x = 380,444.34/551.61
  6. Step 6: Final answer
    x = 689.70

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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.