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Finding the Fourth Proportional to 1,031.50, 1,547.39 and 454.51

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Solution

The fourth proportional to 1,031.50, 1,547.39 and 454.51 is: 681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.50 : 1,547.39 = 454.51 : x
  2. Step 2: Convert to fraction form
    1,031.50/1,547.39 = 454.51/x
  3. Step 3: Cross multiply
    1,031.50x = 1,547.39 × 454.51
  4. Step 4: Simplify right side
    1,031.50x = 703,304.23
  5. Step 5: Solve for x
    x = 703,304.23/1,031.50
  6. Step 6: Final answer
    x = 681.83

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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.