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Finding the Fourth Proportional to 1,031.98, 1,547.95 and 262.48

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Solution

The fourth proportional to 1,031.98, 1,547.95 and 262.48 is: 393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.98 : 1,547.95 = 262.48 : x
  2. Step 2: Convert to fraction form
    1,031.98/1,547.95 = 262.48/x
  3. Step 3: Cross multiply
    1,031.98x = 1,547.95 × 262.48
  4. Step 4: Simplify right side
    1,031.98x = 406,305.92
  5. Step 5: Solve for x
    x = 406,305.92/1,031.98
  6. Step 6: Final answer
    x = 393.71

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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.