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Finding the Fourth Proportional to 691.47, 946.76 and 689.04

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Solution

The fourth proportional to 691.47, 946.76 and 689.04 is: 943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.47 : 946.76 = 689.04 : x
  2. Step 2: Convert to fraction form
    691.47/946.76 = 689.04/x
  3. Step 3: Cross multiply
    691.47x = 946.76 × 689.04
  4. Step 4: Simplify right side
    691.47x = 652,352.07
  5. Step 5: Solve for x
    x = 652,352.07/691.47
  6. Step 6: Final answer
    x = 943.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.