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Finding the Fourth Proportional to 900.92, 1,243.17 and 507.95

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Solution

The fourth proportional to 900.92, 1,243.17 and 507.95 is: 700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.92 : 1,243.17 = 507.95 : x
  2. Step 2: Convert to fraction form
    900.92/1,243.17 = 507.95/x
  3. Step 3: Cross multiply
    900.92x = 1,243.17 × 507.95
  4. Step 4: Simplify right side
    900.92x = 631,464.58
  5. Step 5: Solve for x
    x = 631,464.58/900.92
  6. Step 6: Final answer
    x = 700.91

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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.