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Finding the Fourth Proportional to 931.07, 1,397.01 and 642.98

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Solution

The fourth proportional to 931.07, 1,397.01 and 642.98 is: 964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.07 : 1,397.01 = 642.98 : x
  2. Step 2: Convert to fraction form
    931.07/1,397.01 = 642.98/x
  3. Step 3: Cross multiply
    931.07x = 1,397.01 × 642.98
  4. Step 4: Simplify right side
    931.07x = 898,255.39
  5. Step 5: Solve for x
    x = 898,255.39/931.07
  6. Step 6: Final answer
    x = 964.75

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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.