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Finding the Fourth Proportional to 898.19, 1,239.53 and 499.87

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Solution

The fourth proportional to 898.19, 1,239.53 and 499.87 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.19 : 1,239.53 = 499.87 : x
  2. Step 2: Convert to fraction form
    898.19/1,239.53 = 499.87/x
  3. Step 3: Cross multiply
    898.19x = 1,239.53 × 499.87
  4. Step 4: Simplify right side
    898.19x = 619,602.01
  5. Step 5: Solve for x
    x = 619,602.01/898.19
  6. Step 6: Final answer
    x = 689.84

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Why These Related Problems?

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