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Finding the Fourth Proportional to 912.24, 1,258.36 and 690.50

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Solution

The fourth proportional to 912.24, 1,258.36 and 690.50 is: 952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.24 : 1,258.36 = 690.50 : x
  2. Step 2: Convert to fraction form
    912.24/1,258.36 = 690.50/x
  3. Step 3: Cross multiply
    912.24x = 1,258.36 × 690.50
  4. Step 4: Simplify right side
    912.24x = 868,899.00
  5. Step 5: Solve for x
    x = 868,899.00/912.24
  6. Step 6: Final answer
    x = 952.49

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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.