Home / 1,510.40-2,264.82-470.12

Finding the Fourth Proportional to 1,510.40, 2,264.82 and 470.12

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Solution

The fourth proportional to 1,510.40, 2,264.82 and 470.12 is: 704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.40 : 2,264.82 = 470.12 : x
  2. Step 2: Convert to fraction form
    1,510.40/2,264.82 = 470.12/x
  3. Step 3: Cross multiply
    1,510.40x = 2,264.82 × 470.12
  4. Step 4: Simplify right side
    1,510.40x = 1,064,737.18
  5. Step 5: Solve for x
    x = 1,064,737.18/1,510.40
  6. Step 6: Final answer
    x = 704.94

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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.