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Finding the Fourth Proportional to 1,030.23, 1,545.85 and 482.45

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Solution

The fourth proportional to 1,030.23, 1,545.85 and 482.45 is: 723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.23 : 1,545.85 = 482.45 : x
  2. Step 2: Convert to fraction form
    1,030.23/1,545.85 = 482.45/x
  3. Step 3: Cross multiply
    1,030.23x = 1,545.85 × 482.45
  4. Step 4: Simplify right side
    1,030.23x = 745,796.90
  5. Step 5: Solve for x
    x = 745,796.90/1,030.23
  6. Step 6: Final answer
    x = 723.91

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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.