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Finding the Fourth Proportional to 562.53, 840.69 and 416.59

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Solution

The fourth proportional to 562.53, 840.69 and 416.59 is: 622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.53 : 840.69 = 416.59 : x
  2. Step 2: Convert to fraction form
    562.53/840.69 = 416.59/x
  3. Step 3: Cross multiply
    562.53x = 840.69 × 416.59
  4. Step 4: Simplify right side
    562.53x = 350,223.05
  5. Step 5: Solve for x
    x = 350,223.05/562.53
  6. Step 6: Final answer
    x = 622.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.