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Finding the Fourth Proportional to 1,031.61, 1,547.72 and 373.48

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Solution

The fourth proportional to 1,031.61, 1,547.72 and 373.48 is: 560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.61 : 1,547.72 = 373.48 : x
  2. Step 2: Convert to fraction form
    1,031.61/1,547.72 = 373.48/x
  3. Step 3: Cross multiply
    1,031.61x = 1,547.72 × 373.48
  4. Step 4: Simplify right side
    1,031.61x = 578,042.47
  5. Step 5: Solve for x
    x = 578,042.47/1,031.61
  6. Step 6: Final answer
    x = 560.33

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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.