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Finding the Fourth Proportional to 688.08, 1,037.64 and 593.04

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Solution

The fourth proportional to 688.08, 1,037.64 and 593.04 is: 894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.08 : 1,037.64 = 593.04 : x
  2. Step 2: Convert to fraction form
    688.08/1,037.64 = 593.04/x
  3. Step 3: Cross multiply
    688.08x = 1,037.64 × 593.04
  4. Step 4: Simplify right side
    688.08x = 615,362.03
  5. Step 5: Solve for x
    x = 615,362.03/688.08
  6. Step 6: Final answer
    x = 894.32

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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.