Home / 1,510.80-2,266.29-470.89

Finding the Fourth Proportional to 1,510.80, 2,266.29 and 470.89

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Solution

The fourth proportional to 1,510.80, 2,266.29 and 470.89 is: 706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.80 : 2,266.29 = 470.89 : x
  2. Step 2: Convert to fraction form
    1,510.80/2,266.29 = 470.89/x
  3. Step 3: Cross multiply
    1,510.80x = 2,266.29 × 470.89
  4. Step 4: Simplify right side
    1,510.80x = 1,067,173.30
  5. Step 5: Solve for x
    x = 1,067,173.30/1,510.80
  6. Step 6: Final answer
    x = 706.36

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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.