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Finding the Fourth Proportional to 1,031.36, 1,546.88 and 373.19

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Solution

The fourth proportional to 1,031.36, 1,546.88 and 373.19 is: 559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.36 : 1,546.88 = 373.19 : x
  2. Step 2: Convert to fraction form
    1,031.36/1,546.88 = 373.19/x
  3. Step 3: Cross multiply
    1,031.36x = 1,546.88 × 373.19
  4. Step 4: Simplify right side
    1,031.36x = 577,270.55
  5. Step 5: Solve for x
    x = 577,270.55/1,031.36
  6. Step 6: Final answer
    x = 559.72

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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.