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Finding the Fourth Proportional to 1,023.77, 1,412.98 and 604.19

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Solution

The fourth proportional to 1,023.77, 1,412.98 and 604.19 is: 833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.77 : 1,412.98 = 604.19 : x
  2. Step 2: Convert to fraction form
    1,023.77/1,412.98 = 604.19/x
  3. Step 3: Cross multiply
    1,023.77x = 1,412.98 × 604.19
  4. Step 4: Simplify right side
    1,023.77x = 853,710.41
  5. Step 5: Solve for x
    x = 853,710.41/1,023.77
  6. Step 6: Final answer
    x = 833.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.