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Finding the Fourth Proportional to 906.19, 1,251.15 and 557.48

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Solution

The fourth proportional to 906.19, 1,251.15 and 557.48 is: 769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 1,251.15 = 557.48 : x
  2. Step 2: Convert to fraction form
    906.19/1,251.15 = 557.48/x
  3. Step 3: Cross multiply
    906.19x = 1,251.15 × 557.48
  4. Step 4: Simplify right side
    906.19x = 697,492.14
  5. Step 5: Solve for x
    x = 697,492.14/906.19
  6. Step 6: Final answer
    x = 769.70

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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.