Home / 1,513.65-2,269.88-589.08

Finding the Fourth Proportional to 1,513.65, 2,269.88 and 589.08

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Solution

The fourth proportional to 1,513.65, 2,269.88 and 589.08 is: 883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.65 : 2,269.88 = 589.08 : x
  2. Step 2: Convert to fraction form
    1,513.65/2,269.88 = 589.08/x
  3. Step 3: Cross multiply
    1,513.65x = 2,269.88 × 589.08
  4. Step 4: Simplify right side
    1,513.65x = 1,337,140.91
  5. Step 5: Solve for x
    x = 1,337,140.91/1,513.65
  6. Step 6: Final answer
    x = 883.39

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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.