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Finding the Fourth Proportional to 1,031.23, 1,545.08 and 811.01

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Solution

The fourth proportional to 1,031.23, 1,545.08 and 811.01 is: 1,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.23 : 1,545.08 = 811.01 : x
  2. Step 2: Convert to fraction form
    1,031.23/1,545.08 = 811.01/x
  3. Step 3: Cross multiply
    1,031.23x = 1,545.08 × 811.01
  4. Step 4: Simplify right side
    1,031.23x = 1,253,075.14
  5. Step 5: Solve for x
    x = 1,253,075.14/1,031.23
  6. Step 6: Final answer
    x = 1,215.13

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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.