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Finding the Fourth Proportional to 1,031.86, 1,547.78 and 877.42

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Solution

The fourth proportional to 1,031.86, 1,547.78 and 877.42 is: 1,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.86 : 1,547.78 = 877.42 : x
  2. Step 2: Convert to fraction form
    1,031.86/1,547.78 = 877.42/x
  3. Step 3: Cross multiply
    1,031.86x = 1,547.78 × 877.42
  4. Step 4: Simplify right side
    1,031.86x = 1,358,053.13
  5. Step 5: Solve for x
    x = 1,358,053.13/1,031.86
  6. Step 6: Final answer
    x = 1,316.12

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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.