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Finding the Fourth Proportional to 562.17, 841.98 and 287.76

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Solution

The fourth proportional to 562.17, 841.98 and 287.76 is: 430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.17 : 841.98 = 287.76 : x
  2. Step 2: Convert to fraction form
    562.17/841.98 = 287.76/x
  3. Step 3: Cross multiply
    562.17x = 841.98 × 287.76
  4. Step 4: Simplify right side
    562.17x = 242,288.16
  5. Step 5: Solve for x
    x = 242,288.16/562.17
  6. Step 6: Final answer
    x = 430.99

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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.