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Finding the Fourth Proportional to 1,031.23, 1,545.04 and 859.00

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Solution

The fourth proportional to 1,031.23, 1,545.04 and 859.00 is: 1,287.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.23 : 1,545.04 = 859.00 : x
  2. Step 2: Convert to fraction form
    1,031.23/1,545.04 = 859.00/x
  3. Step 3: Cross multiply
    1,031.23x = 1,545.04 × 859.00
  4. Step 4: Simplify right side
    1,031.23x = 1,327,193.22
  5. Step 5: Solve for x
    x = 1,327,193.22/1,031.23
  6. Step 6: Final answer
    x = 1,287.00

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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.