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Finding the Fourth Proportional to 1,119.73, 1,545.45 and 647.93

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Solution

The fourth proportional to 1,119.73, 1,545.45 and 647.93 is: 894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.73 : 1,545.45 = 647.93 : x
  2. Step 2: Convert to fraction form
    1,119.73/1,545.45 = 647.93/x
  3. Step 3: Cross multiply
    1,119.73x = 1,545.45 × 647.93
  4. Step 4: Simplify right side
    1,119.73x = 1,001,343.42
  5. Step 5: Solve for x
    x = 1,001,343.42/1,119.73
  6. Step 6: Final answer
    x = 894.27

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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.