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Finding the Fourth Proportional to 912.87, 1,368.50 and 697.41

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Solution

The fourth proportional to 912.87, 1,368.50 and 697.41 is: 1,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.87 : 1,368.50 = 697.41 : x
  2. Step 2: Convert to fraction form
    912.87/1,368.50 = 697.41/x
  3. Step 3: Cross multiply
    912.87x = 1,368.50 × 697.41
  4. Step 4: Simplify right side
    912.87x = 954,402.10
  5. Step 5: Solve for x
    x = 954,402.10/912.87
  6. Step 6: Final answer
    x = 1,045.50

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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.