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Finding the Fourth Proportional to 771.60, 1,064.40 and 509.52

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Solution

The fourth proportional to 771.60, 1,064.40 and 509.52 is: 702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.60 : 1,064.40 = 509.52 : x
  2. Step 2: Convert to fraction form
    771.60/1,064.40 = 509.52/x
  3. Step 3: Cross multiply
    771.60x = 1,064.40 × 509.52
  4. Step 4: Simplify right side
    771.60x = 542,333.09
  5. Step 5: Solve for x
    x = 542,333.09/771.60
  6. Step 6: Final answer
    x = 702.87

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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.