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Finding the Fourth Proportional to 906.69, 1,251.14 and 508.34

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Solution

The fourth proportional to 906.69, 1,251.14 and 508.34 is: 701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.69 : 1,251.14 = 508.34 : x
  2. Step 2: Convert to fraction form
    906.69/1,251.14 = 508.34/x
  3. Step 3: Cross multiply
    906.69x = 1,251.14 × 508.34
  4. Step 4: Simplify right side
    906.69x = 635,995.71
  5. Step 5: Solve for x
    x = 635,995.71/906.69
  6. Step 6: Final answer
    x = 701.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.