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Finding the Fourth Proportional to 898.13, 1,239.48 and 499.84

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Solution

The fourth proportional to 898.13, 1,239.48 and 499.84 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.13 : 1,239.48 = 499.84 : x
  2. Step 2: Convert to fraction form
    898.13/1,239.48 = 499.84/x
  3. Step 3: Cross multiply
    898.13x = 1,239.48 × 499.84
  4. Step 4: Simplify right side
    898.13x = 619,541.68
  5. Step 5: Solve for x
    x = 619,541.68/898.13
  6. Step 6: Final answer
    x = 689.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.