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Finding the Fourth Proportional to 691.34, 952.38 and 580.82

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Solution

The fourth proportional to 691.34, 952.38 and 580.82 is: 800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.34 : 952.38 = 580.82 : x
  2. Step 2: Convert to fraction form
    691.34/952.38 = 580.82/x
  3. Step 3: Cross multiply
    691.34x = 952.38 × 580.82
  4. Step 4: Simplify right side
    691.34x = 553,161.35
  5. Step 5: Solve for x
    x = 553,161.35/691.34
  6. Step 6: Final answer
    x = 800.13

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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.