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Finding the Fourth Proportional to 899.29, 1,349.51 and 831.65

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Solution

The fourth proportional to 899.29, 1,349.51 and 831.65 is: 1,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.29 : 1,349.51 = 831.65 : x
  2. Step 2: Convert to fraction form
    899.29/1,349.51 = 831.65/x
  3. Step 3: Cross multiply
    899.29x = 1,349.51 × 831.65
  4. Step 4: Simplify right side
    899.29x = 1,122,319.21
  5. Step 5: Solve for x
    x = 1,122,319.21/899.29
  6. Step 6: Final answer
    x = 1,248.01

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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.