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Finding the Fourth Proportional to 1,701.66, 2,551.70 and 999.20

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Solution

The fourth proportional to 1,701.66, 2,551.70 and 999.20 is: 1,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.66 : 2,551.70 = 999.20 : x
  2. Step 2: Convert to fraction form
    1,701.66/2,551.70 = 999.20/x
  3. Step 3: Cross multiply
    1,701.66x = 2,551.70 × 999.20
  4. Step 4: Simplify right side
    1,701.66x = 2,549,667.52
  5. Step 5: Solve for x
    x = 2,549,667.52/1,701.66
  6. Step 6: Final answer
    x = 1,498.34

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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.