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Finding the Fourth Proportional to 623.77, 861.74 and 531.46

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Solution

The fourth proportional to 623.77, 861.74 and 531.46 is: 734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.77 : 861.74 = 531.46 : x
  2. Step 2: Convert to fraction form
    623.77/861.74 = 531.46/x
  3. Step 3: Cross multiply
    623.77x = 861.74 × 531.46
  4. Step 4: Simplify right side
    623.77x = 457,980.75
  5. Step 5: Solve for x
    x = 457,980.75/623.77
  6. Step 6: Final answer
    x = 734.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.