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Finding the Fourth Proportional to 898.36, 1,239.72 and 500.02

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Solution

The fourth proportional to 898.36, 1,239.72 and 500.02 is: 690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.36 : 1,239.72 = 500.02 : x
  2. Step 2: Convert to fraction form
    898.36/1,239.72 = 500.02/x
  3. Step 3: Cross multiply
    898.36x = 1,239.72 × 500.02
  4. Step 4: Simplify right side
    898.36x = 619,884.79
  5. Step 5: Solve for x
    x = 619,884.79/898.36
  6. Step 6: Final answer
    x = 690.02

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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.