Home / 1,510.32-2,265.45-414.69

Finding the Fourth Proportional to 1,510.32, 2,265.45 and 414.69

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Solution

The fourth proportional to 1,510.32, 2,265.45 and 414.69 is: 622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.32 : 2,265.45 = 414.69 : x
  2. Step 2: Convert to fraction form
    1,510.32/2,265.45 = 414.69/x
  3. Step 3: Cross multiply
    1,510.32x = 2,265.45 × 414.69
  4. Step 4: Simplify right side
    1,510.32x = 939,459.46
  5. Step 5: Solve for x
    x = 939,459.46/1,510.32
  6. Step 6: Final answer
    x = 622.03

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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.