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Finding the Fourth Proportional to 1,712.80, 2,569.20 and 558.55

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Solution

The fourth proportional to 1,712.80, 2,569.20 and 558.55 is: 837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.80 : 2,569.20 = 558.55 : x
  2. Step 2: Convert to fraction form
    1,712.80/2,569.20 = 558.55/x
  3. Step 3: Cross multiply
    1,712.80x = 2,569.20 × 558.55
  4. Step 4: Simplify right side
    1,712.80x = 1,435,026.66
  5. Step 5: Solve for x
    x = 1,435,026.66/1,712.80
  6. Step 6: Final answer
    x = 837.83

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Similar ratio
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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.