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Finding the Fourth Proportional to 562.60, 848.71 and 512.20

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Solution

The fourth proportional to 562.60, 848.71 and 512.20 is: 772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.60 : 848.71 = 512.20 : x
  2. Step 2: Convert to fraction form
    562.60/848.71 = 512.20/x
  3. Step 3: Cross multiply
    562.60x = 848.71 × 512.20
  4. Step 4: Simplify right side
    562.60x = 434,709.26
  5. Step 5: Solve for x
    x = 434,709.26/562.60
  6. Step 6: Final answer
    x = 772.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.