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Finding the Fourth Proportional to 562.17, 840.83 and 458.67

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Solution

The fourth proportional to 562.17, 840.83 and 458.67 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.17 : 840.83 = 458.67 : x
  2. Step 2: Convert to fraction form
    562.17/840.83 = 458.67/x
  3. Step 3: Cross multiply
    562.17x = 840.83 × 458.67
  4. Step 4: Simplify right side
    562.17x = 385,661.20
  5. Step 5: Solve for x
    x = 385,661.20/562.17
  6. Step 6: Final answer
    x = 686.02

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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.