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Finding the Fourth Proportional to 1,329.42, 1,990.47 and 917.55

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Solution

The fourth proportional to 1,329.42, 1,990.47 and 917.55 is: 1,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.42 : 1,990.47 = 917.55 : x
  2. Step 2: Convert to fraction form
    1,329.42/1,990.47 = 917.55/x
  3. Step 3: Cross multiply
    1,329.42x = 1,990.47 × 917.55
  4. Step 4: Simplify right side
    1,329.42x = 1,826,355.75
  5. Step 5: Solve for x
    x = 1,826,355.75/1,329.42
  6. Step 6: Final answer
    x = 1,373.80

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1.5x scale

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.