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Finding the Fourth Proportional to 771.76, 1,065.15 and 509.62

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Solution

The fourth proportional to 771.76, 1,065.15 and 509.62 is: 703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.76 : 1,065.15 = 509.62 : x
  2. Step 2: Convert to fraction form
    771.76/1,065.15 = 509.62/x
  3. Step 3: Cross multiply
    771.76x = 1,065.15 × 509.62
  4. Step 4: Simplify right side
    771.76x = 542,821.74
  5. Step 5: Solve for x
    x = 542,821.74/771.76
  6. Step 6: Final answer
    x = 703.36

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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.