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Finding the Fourth Proportional to 771.38, 1,156.72 and 478.87

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Solution

The fourth proportional to 771.38, 1,156.72 and 478.87 is: 718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,156.72 = 478.87 : x
  2. Step 2: Convert to fraction form
    771.38/1,156.72 = 478.87/x
  3. Step 3: Cross multiply
    771.38x = 1,156.72 × 478.87
  4. Step 4: Simplify right side
    771.38x = 553,914.42
  5. Step 5: Solve for x
    x = 553,914.42/771.38
  6. Step 6: Final answer
    x = 718.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.