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Finding the Fourth Proportional to 1,155.46, 1,733.18 and 289.77

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Solution

The fourth proportional to 1,155.46, 1,733.18 and 289.77 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.46 : 1,733.18 = 289.77 : x
  2. Step 2: Convert to fraction form
    1,155.46/1,733.18 = 289.77/x
  3. Step 3: Cross multiply
    1,155.46x = 1,733.18 × 289.77
  4. Step 4: Simplify right side
    1,155.46x = 502,223.57
  5. Step 5: Solve for x
    x = 502,223.57/1,155.46
  6. Step 6: Final answer
    x = 434.65

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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.