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Finding the Fourth Proportional to 1,510.31, 2,265.53 and 414.53

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Solution

The fourth proportional to 1,510.31, 2,265.53 and 414.53 is: 621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.31 : 2,265.53 = 414.53 : x
  2. Step 2: Convert to fraction form
    1,510.31/2,265.53 = 414.53/x
  3. Step 3: Cross multiply
    1,510.31x = 2,265.53 × 414.53
  4. Step 4: Simplify right side
    1,510.31x = 939,116.75
  5. Step 5: Solve for x
    x = 939,116.75/1,510.31
  6. Step 6: Final answer
    x = 621.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.