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Finding the Fourth Proportional to 1,030.61, 1,545.21 and 544

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Solution

The fourth proportional to 1,030.61, 1,545.21 and 544 is: 815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.61 : 1,545.21 = 544 : x
  2. Step 2: Convert to fraction form
    1,030.61/1,545.21 = 544/x
  3. Step 3: Cross multiply
    1,030.61x = 1,545.21 × 544
  4. Step 4: Simplify right side
    1,030.61x = 840,594.24
  5. Step 5: Solve for x
    x = 840,594.24/1,030.61
  6. Step 6: Final answer
    x = 815.63

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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.