Home / 1,022.95-1,532.40-610.93

Finding the Fourth Proportional to 1,022.95, 1,532.40 and 610.93

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Solution

The fourth proportional to 1,022.95, 1,532.40 and 610.93 is: 915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.95 : 1,532.40 = 610.93 : x
  2. Step 2: Convert to fraction form
    1,022.95/1,532.40 = 610.93/x
  3. Step 3: Cross multiply
    1,022.95x = 1,532.40 × 610.93
  4. Step 4: Simplify right side
    1,022.95x = 936,189.13
  5. Step 5: Solve for x
    x = 936,189.13/1,022.95
  6. Step 6: Final answer
    x = 915.19

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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.