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Finding the Fourth Proportional to 906, 1,246.50 and 807.54

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Solution

The fourth proportional to 906, 1,246.50 and 807.54 is: 1,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    906 : 1,246.50 = 807.54 : x
  2. Step 2: Convert to fraction form
    906/1,246.50 = 807.54/x
  3. Step 3: Cross multiply
    906x = 1,246.50 × 807.54
  4. Step 4: Simplify right side
    906x = 1,006,598.61
  5. Step 5: Solve for x
    x = 1,006,598.61/906
  6. Step 6: Final answer
    x = 1,111.04

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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.