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Finding the Fourth Proportional to 906.30, 1,250.76 and 508

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Solution

The fourth proportional to 906.30, 1,250.76 and 508 is: 701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.30 : 1,250.76 = 508 : x
  2. Step 2: Convert to fraction form
    906.30/1,250.76 = 508/x
  3. Step 3: Cross multiply
    906.30x = 1,250.76 × 508
  4. Step 4: Simplify right side
    906.30x = 635,386.08
  5. Step 5: Solve for x
    x = 635,386.08/906.30
  6. Step 6: Final answer
    x = 701.08

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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.