Home / 1,461.20-2,191.98-473.90

Finding the Fourth Proportional to 1,461.20, 2,191.98 and 473.90

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Solution

The fourth proportional to 1,461.20, 2,191.98 and 473.90 is: 710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.20 : 2,191.98 = 473.90 : x
  2. Step 2: Convert to fraction form
    1,461.20/2,191.98 = 473.90/x
  3. Step 3: Cross multiply
    1,461.20x = 2,191.98 × 473.90
  4. Step 4: Simplify right side
    1,461.20x = 1,038,779.32
  5. Step 5: Solve for x
    x = 1,038,779.32/1,461.20
  6. Step 6: Final answer
    x = 710.91

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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.