Home / 1,510.40-2,264.90-470.09

Finding the Fourth Proportional to 1,510.40, 2,264.90 and 470.09

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Solution

The fourth proportional to 1,510.40, 2,264.90 and 470.09 is: 704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.40 : 2,264.90 = 470.09 : x
  2. Step 2: Convert to fraction form
    1,510.40/2,264.90 = 470.09/x
  3. Step 3: Cross multiply
    1,510.40x = 2,264.90 × 470.09
  4. Step 4: Simplify right side
    1,510.40x = 1,064,713.68
  5. Step 5: Solve for x
    x = 1,064,713.68/1,510.40
  6. Step 6: Final answer
    x = 704.92

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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.