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Finding the Fourth Proportional to 1,155.57, 1,594.68 and 658.21

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Solution

The fourth proportional to 1,155.57, 1,594.68 and 658.21 is: 908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.57 : 1,594.68 = 658.21 : x
  2. Step 2: Convert to fraction form
    1,155.57/1,594.68 = 658.21/x
  3. Step 3: Cross multiply
    1,155.57x = 1,594.68 × 658.21
  4. Step 4: Simplify right side
    1,155.57x = 1,049,629.17
  5. Step 5: Solve for x
    x = 1,049,629.17/1,155.57
  6. Step 6: Final answer
    x = 908.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.