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Finding the Fourth Proportional to 691.50, 1,038.28 and 671.01

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Solution

The fourth proportional to 691.50, 1,038.28 and 671.01 is: 1,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.50 : 1,038.28 = 671.01 : x
  2. Step 2: Convert to fraction form
    691.50/1,038.28 = 671.01/x
  3. Step 3: Cross multiply
    691.50x = 1,038.28 × 671.01
  4. Step 4: Simplify right side
    691.50x = 696,696.26
  5. Step 5: Solve for x
    x = 696,696.26/691.50
  6. Step 6: Final answer
    x = 1,007.51

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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.