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Finding the Fourth Proportional to 562.57, 771.38 and 507.09

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Solution

The fourth proportional to 562.57, 771.38 and 507.09 is: 695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.57 : 771.38 = 507.09 : x
  2. Step 2: Convert to fraction form
    562.57/771.38 = 507.09/x
  3. Step 3: Cross multiply
    562.57x = 771.38 × 507.09
  4. Step 4: Simplify right side
    562.57x = 391,159.08
  5. Step 5: Solve for x
    x = 391,159.08/562.57
  6. Step 6: Final answer
    x = 695.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.