Home / 1,047.90-1,569.83-614.55

Finding the Fourth Proportional to 1,047.90, 1,569.83 and 614.55

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Solution

The fourth proportional to 1,047.90, 1,569.83 and 614.55 is: 920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.90 : 1,569.83 = 614.55 : x
  2. Step 2: Convert to fraction form
    1,047.90/1,569.83 = 614.55/x
  3. Step 3: Cross multiply
    1,047.90x = 1,569.83 × 614.55
  4. Step 4: Simplify right side
    1,047.90x = 964,735.95
  5. Step 5: Solve for x
    x = 964,735.95/1,047.90
  6. Step 6: Final answer
    x = 920.64

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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.