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Finding the Fourth Proportional to 771.64, 1,064.88 and 472.85

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Solution

The fourth proportional to 771.64, 1,064.88 and 472.85 is: 652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.64 : 1,064.88 = 472.85 : x
  2. Step 2: Convert to fraction form
    771.64/1,064.88 = 472.85/x
  3. Step 3: Cross multiply
    771.64x = 1,064.88 × 472.85
  4. Step 4: Simplify right side
    771.64x = 503,527.18
  5. Step 5: Solve for x
    x = 503,527.18/771.64
  6. Step 6: Final answer
    x = 652.54

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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.