Home / 1,046.30-1,569.72-613.76

Finding the Fourth Proportional to 1,046.30, 1,569.72 and 613.76

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Solution

The fourth proportional to 1,046.30, 1,569.72 and 613.76 is: 920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.30 : 1,569.72 = 613.76 : x
  2. Step 2: Convert to fraction form
    1,046.30/1,569.72 = 613.76/x
  3. Step 3: Cross multiply
    1,046.30x = 1,569.72 × 613.76
  4. Step 4: Simplify right side
    1,046.30x = 963,431.35
  5. Step 5: Solve for x
    x = 963,431.35/1,046.30
  6. Step 6: Final answer
    x = 920.80

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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.