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Finding the Fourth Proportional to 1,031.34, 1,547.01 and 251.34

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Solution

The fourth proportional to 1,031.34, 1,547.01 and 251.34 is: 377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.34 : 1,547.01 = 251.34 : x
  2. Step 2: Convert to fraction form
    1,031.34/1,547.01 = 251.34/x
  3. Step 3: Cross multiply
    1,031.34x = 1,547.01 × 251.34
  4. Step 4: Simplify right side
    1,031.34x = 388,825.49
  5. Step 5: Solve for x
    x = 388,825.49/1,031.34
  6. Step 6: Final answer
    x = 377.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.