Home / 1,582.62-2,373.35-542.33

Finding the Fourth Proportional to 1,582.62, 2,373.35 and 542.33

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Solution

The fourth proportional to 1,582.62, 2,373.35 and 542.33 is: 813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.62 : 2,373.35 = 542.33 : x
  2. Step 2: Convert to fraction form
    1,582.62/2,373.35 = 542.33/x
  3. Step 3: Cross multiply
    1,582.62x = 2,373.35 × 542.33
  4. Step 4: Simplify right side
    1,582.62x = 1,287,124.33
  5. Step 5: Solve for x
    x = 1,287,124.33/1,582.62
  6. Step 6: Final answer
    x = 813.29

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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.