Home / 1,510.08-2,264.80-414.20

Finding the Fourth Proportional to 1,510.08, 2,264.80 and 414.20

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Solution

The fourth proportional to 1,510.08, 2,264.80 and 414.20 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.08 : 2,264.80 = 414.20 : x
  2. Step 2: Convert to fraction form
    1,510.08/2,264.80 = 414.20/x
  3. Step 3: Cross multiply
    1,510.08x = 2,264.80 × 414.20
  4. Step 4: Simplify right side
    1,510.08x = 938,080.16
  5. Step 5: Solve for x
    x = 938,080.16/1,510.08
  6. Step 6: Final answer
    x = 621.21

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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.