Home / 1,582.58-2,374.01-542.27

Finding the Fourth Proportional to 1,582.58, 2,374.01 and 542.27

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Solution

The fourth proportional to 1,582.58, 2,374.01 and 542.27 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.58 : 2,374.01 = 542.27 : x
  2. Step 2: Convert to fraction form
    1,582.58/2,374.01 = 542.27/x
  3. Step 3: Cross multiply
    1,582.58x = 2,374.01 × 542.27
  4. Step 4: Simplify right side
    1,582.58x = 1,287,354.40
  5. Step 5: Solve for x
    x = 1,287,354.40/1,582.58
  6. Step 6: Final answer
    x = 813.45

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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.