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Finding the Fourth Proportional to 1,004.24, 1,385.32 and 590

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Solution

The fourth proportional to 1,004.24, 1,385.32 and 590 is: 813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.24 : 1,385.32 = 590 : x
  2. Step 2: Convert to fraction form
    1,004.24/1,385.32 = 590/x
  3. Step 3: Cross multiply
    1,004.24x = 1,385.32 × 590
  4. Step 4: Simplify right side
    1,004.24x = 817,338.80
  5. Step 5: Solve for x
    x = 817,338.80/1,004.24
  6. Step 6: Final answer
    x = 813.89

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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.