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Finding the Fourth Proportional to 690.36, 1,037.16 and 593.16

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Solution

The fourth proportional to 690.36, 1,037.16 and 593.16 is: 891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.36 : 1,037.16 = 593.16 : x
  2. Step 2: Convert to fraction form
    690.36/1,037.16 = 593.16/x
  3. Step 3: Cross multiply
    690.36x = 1,037.16 × 593.16
  4. Step 4: Simplify right side
    690.36x = 615,201.83
  5. Step 5: Solve for x
    x = 615,201.83/690.36
  6. Step 6: Final answer
    x = 891.13

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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.