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Finding the Fourth Proportional to 1,031.56, 1,547.05 and 373.34

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Solution

The fourth proportional to 1,031.56, 1,547.05 and 373.34 is: 559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.56 : 1,547.05 = 373.34 : x
  2. Step 2: Convert to fraction form
    1,031.56/1,547.05 = 373.34/x
  3. Step 3: Cross multiply
    1,031.56x = 1,547.05 × 373.34
  4. Step 4: Simplify right side
    1,031.56x = 577,575.65
  5. Step 5: Solve for x
    x = 577,575.65/1,031.56
  6. Step 6: Final answer
    x = 559.91

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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.