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Finding the Fourth Proportional to 900.11, 1,242.63 and 689.63

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Solution

The fourth proportional to 900.11, 1,242.63 and 689.63 is: 952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.11 : 1,242.63 = 689.63 : x
  2. Step 2: Convert to fraction form
    900.11/1,242.63 = 689.63/x
  3. Step 3: Cross multiply
    900.11x = 1,242.63 × 689.63
  4. Step 4: Simplify right side
    900.11x = 856,948.71
  5. Step 5: Solve for x
    x = 856,948.71/900.11
  6. Step 6: Final answer
    x = 952.05

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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.