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Finding the Fourth Proportional to 782.40, 1,171.54 and 507.66

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Solution

The fourth proportional to 782.40, 1,171.54 and 507.66 is: 760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.40 : 1,171.54 = 507.66 : x
  2. Step 2: Convert to fraction form
    782.40/1,171.54 = 507.66/x
  3. Step 3: Cross multiply
    782.40x = 1,171.54 × 507.66
  4. Step 4: Simplify right side
    782.40x = 594,744.00
  5. Step 5: Solve for x
    x = 594,744.00/782.40
  6. Step 6: Final answer
    x = 760.15

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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.