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Finding the Fourth Proportional to 771.30, 1,064.88 and 509.76

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Solution

The fourth proportional to 771.30, 1,064.88 and 509.76 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,064.88 = 509.76 : x
  2. Step 2: Convert to fraction form
    771.30/1,064.88 = 509.76/x
  3. Step 3: Cross multiply
    771.30x = 1,064.88 × 509.76
  4. Step 4: Simplify right side
    771.30x = 542,833.23
  5. Step 5: Solve for x
    x = 542,833.23/771.30
  6. Step 6: Final answer
    x = 703.79

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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.