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Finding the Fourth Proportional to 699.29, 1,048.53 and 288.71

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Solution

The fourth proportional to 699.29, 1,048.53 and 288.71 is: 432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.29 : 1,048.53 = 288.71 : x
  2. Step 2: Convert to fraction form
    699.29/1,048.53 = 288.71/x
  3. Step 3: Cross multiply
    699.29x = 1,048.53 × 288.71
  4. Step 4: Simplify right side
    699.29x = 302,721.10
  5. Step 5: Solve for x
    x = 302,721.10/699.29
  6. Step 6: Final answer
    x = 432.90

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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.