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Finding the Fourth Proportional to 696.93, 1,037.88 and 655

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Solution

The fourth proportional to 696.93, 1,037.88 and 655 is: 975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.93 : 1,037.88 = 655 : x
  2. Step 2: Convert to fraction form
    696.93/1,037.88 = 655/x
  3. Step 3: Cross multiply
    696.93x = 1,037.88 × 655
  4. Step 4: Simplify right side
    696.93x = 679,811.40
  5. Step 5: Solve for x
    x = 679,811.40/696.93
  6. Step 6: Final answer
    x = 975.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.