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Finding the Fourth Proportional to 561.62, 841.80 and 424.22

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Solution

The fourth proportional to 561.62, 841.80 and 424.22 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.62 : 841.80 = 424.22 : x
  2. Step 2: Convert to fraction form
    561.62/841.80 = 424.22/x
  3. Step 3: Cross multiply
    561.62x = 841.80 × 424.22
  4. Step 4: Simplify right side
    561.62x = 357,108.40
  5. Step 5: Solve for x
    x = 357,108.40/561.62
  6. Step 6: Final answer
    x = 635.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.