Home / 1,021.95-1,531.78-473.65

Finding the Fourth Proportional to 1,021.95, 1,531.78 and 473.65

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Solution

The fourth proportional to 1,021.95, 1,531.78 and 473.65 is: 709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.95 : 1,531.78 = 473.65 : x
  2. Step 2: Convert to fraction form
    1,021.95/1,531.78 = 473.65/x
  3. Step 3: Cross multiply
    1,021.95x = 1,531.78 × 473.65
  4. Step 4: Simplify right side
    1,021.95x = 725,522.58
  5. Step 5: Solve for x
    x = 725,522.58/1,021.95
  6. Step 6: Final answer
    x = 709.94

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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.