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Finding the Fourth Proportional to 781.37, 1,172.08 and 507.65

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Solution

The fourth proportional to 781.37, 1,172.08 and 507.65 is: 761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.37 : 1,172.08 = 507.65 : x
  2. Step 2: Convert to fraction form
    781.37/1,172.08 = 507.65/x
  3. Step 3: Cross multiply
    781.37x = 1,172.08 × 507.65
  4. Step 4: Simplify right side
    781.37x = 595,006.41
  5. Step 5: Solve for x
    x = 595,006.41/781.37
  6. Step 6: Final answer
    x = 761.50

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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.