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Finding the Fourth Proportional to 586.50, 804.90 and 531.12

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Solution

The fourth proportional to 586.50, 804.90 and 531.12 is: 728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.50 : 804.90 = 531.12 : x
  2. Step 2: Convert to fraction form
    586.50/804.90 = 531.12/x
  3. Step 3: Cross multiply
    586.50x = 804.90 × 531.12
  4. Step 4: Simplify right side
    586.50x = 427,498.49
  5. Step 5: Solve for x
    x = 427,498.49/586.50
  6. Step 6: Final answer
    x = 728.90

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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.