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Finding the Fourth Proportional to 1,655.73, 2,484.86 and 876.10

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Solution

The fourth proportional to 1,655.73, 2,484.86 and 876.10 is: 1,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.73 : 2,484.86 = 876.10 : x
  2. Step 2: Convert to fraction form
    1,655.73/2,484.86 = 876.10/x
  3. Step 3: Cross multiply
    1,655.73x = 2,484.86 × 876.10
  4. Step 4: Simplify right side
    1,655.73x = 2,176,985.85
  5. Step 5: Solve for x
    x = 2,176,985.85/1,655.73
  6. Step 6: Final answer
    x = 1,314.82

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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.