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Finding the Fourth Proportional to 771.42, 1,064.31 and 456.71

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Solution

The fourth proportional to 771.42, 1,064.31 and 456.71 is: 630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.42 : 1,064.31 = 456.71 : x
  2. Step 2: Convert to fraction form
    771.42/1,064.31 = 456.71/x
  3. Step 3: Cross multiply
    771.42x = 1,064.31 × 456.71
  4. Step 4: Simplify right side
    771.42x = 486,073.99
  5. Step 5: Solve for x
    x = 486,073.99/771.42
  6. Step 6: Final answer
    x = 630.10

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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.