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Finding the Fourth Proportional to 1,098.61, 1,647.63 and 772.45

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Solution

The fourth proportional to 1,098.61, 1,647.63 and 772.45 is: 1,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.61 : 1,647.63 = 772.45 : x
  2. Step 2: Convert to fraction form
    1,098.61/1,647.63 = 772.45/x
  3. Step 3: Cross multiply
    1,098.61x = 1,647.63 × 772.45
  4. Step 4: Simplify right side
    1,098.61x = 1,272,711.79
  5. Step 5: Solve for x
    x = 1,272,711.79/1,098.61
  6. Step 6: Final answer
    x = 1,158.47

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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.