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Finding the Fourth Proportional to 898.36, 1,238.58 and 649.48

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Solution

The fourth proportional to 898.36, 1,238.58 and 649.48 is: 895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.36 : 1,238.58 = 649.48 : x
  2. Step 2: Convert to fraction form
    898.36/1,238.58 = 649.48/x
  3. Step 3: Cross multiply
    898.36x = 1,238.58 × 649.48
  4. Step 4: Simplify right side
    898.36x = 804,432.94
  5. Step 5: Solve for x
    x = 804,432.94/898.36
  6. Step 6: Final answer
    x = 895.45

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1.5x scale

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.