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Finding the Fourth Proportional to 688.02, 1,037.04 and 617.58

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Solution

The fourth proportional to 688.02, 1,037.04 and 617.58 is: 930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.02 : 1,037.04 = 617.58 : x
  2. Step 2: Convert to fraction form
    688.02/1,037.04 = 617.58/x
  3. Step 3: Cross multiply
    688.02x = 1,037.04 × 617.58
  4. Step 4: Simplify right side
    688.02x = 640,455.16
  5. Step 5: Solve for x
    x = 640,455.16/688.02
  6. Step 6: Final answer
    x = 930.87

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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.