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Finding the Fourth Proportional to 1,513.90, 2,269.57 and 590.10

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Solution

The fourth proportional to 1,513.90, 2,269.57 and 590.10 is: 884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.90 : 2,269.57 = 590.10 : x
  2. Step 2: Convert to fraction form
    1,513.90/2,269.57 = 590.10/x
  3. Step 3: Cross multiply
    1,513.90x = 2,269.57 × 590.10
  4. Step 4: Simplify right side
    1,513.90x = 1,339,271.78
  5. Step 5: Solve for x
    x = 1,339,271.78/1,513.90
  6. Step 6: Final answer
    x = 884.65

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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.