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Finding the Fourth Proportional to 898.07, 1,347.24 and 801.68

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Solution

The fourth proportional to 898.07, 1,347.24 and 801.68 is: 1,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.07 : 1,347.24 = 801.68 : x
  2. Step 2: Convert to fraction form
    898.07/1,347.24 = 801.68/x
  3. Step 3: Cross multiply
    898.07x = 1,347.24 × 801.68
  4. Step 4: Simplify right side
    898.07x = 1,080,055.36
  5. Step 5: Solve for x
    x = 1,080,055.36/898.07
  6. Step 6: Final answer
    x = 1,202.64

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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.