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Finding the Fourth Proportional to 1,520.34, 2,279.99 and 595.65

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Solution

The fourth proportional to 1,520.34, 2,279.99 and 595.65 is: 893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.34 : 2,279.99 = 595.65 : x
  2. Step 2: Convert to fraction form
    1,520.34/2,279.99 = 595.65/x
  3. Step 3: Cross multiply
    1,520.34x = 2,279.99 × 595.65
  4. Step 4: Simplify right side
    1,520.34x = 1,358,073.07
  5. Step 5: Solve for x
    x = 1,358,073.07/1,520.34
  6. Step 6: Final answer
    x = 893.27

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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.