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Finding the Fourth Proportional to 693.28, 1,045.24 and 646.28

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Solution

The fourth proportional to 693.28, 1,045.24 and 646.28 is: 974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.28 : 1,045.24 = 646.28 : x
  2. Step 2: Convert to fraction form
    693.28/1,045.24 = 646.28/x
  3. Step 3: Cross multiply
    693.28x = 1,045.24 × 646.28
  4. Step 4: Simplify right side
    693.28x = 675,517.71
  5. Step 5: Solve for x
    x = 675,517.71/693.28
  6. Step 6: Final answer
    x = 974.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.