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Finding the Fourth Proportional to 1,159.50, 1,737.60 and 833.34

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Solution

The fourth proportional to 1,159.50, 1,737.60 and 833.34 is: 1,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.50 : 1,737.60 = 833.34 : x
  2. Step 2: Convert to fraction form
    1,159.50/1,737.60 = 833.34/x
  3. Step 3: Cross multiply
    1,159.50x = 1,737.60 × 833.34
  4. Step 4: Simplify right side
    1,159.50x = 1,448,011.58
  5. Step 5: Solve for x
    x = 1,448,011.58/1,159.50
  6. Step 6: Final answer
    x = 1,248.82

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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.