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Finding the Fourth Proportional to 906.55, 1,358.81 and 631.81

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Solution

The fourth proportional to 906.55, 1,358.81 and 631.81 is: 947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.55 : 1,358.81 = 631.81 : x
  2. Step 2: Convert to fraction form
    906.55/1,358.81 = 631.81/x
  3. Step 3: Cross multiply
    906.55x = 1,358.81 × 631.81
  4. Step 4: Simplify right side
    906.55x = 858,503.19
  5. Step 5: Solve for x
    x = 858,503.19/906.55
  6. Step 6: Final answer
    x = 947.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.