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Finding the Fourth Proportional to 898.78, 1,347.26 and 681.91

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Solution

The fourth proportional to 898.78, 1,347.26 and 681.91 is: 1,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.78 : 1,347.26 = 681.91 : x
  2. Step 2: Convert to fraction form
    898.78/1,347.26 = 681.91/x
  3. Step 3: Cross multiply
    898.78x = 1,347.26 × 681.91
  4. Step 4: Simplify right side
    898.78x = 918,710.07
  5. Step 5: Solve for x
    x = 918,710.07/898.78
  6. Step 6: Final answer
    x = 1,022.17

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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.