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Finding the Fourth Proportional to 890.79, 1,228.60 and 592.17

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Solution

The fourth proportional to 890.79, 1,228.60 and 592.17 is: 816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.79 : 1,228.60 = 592.17 : x
  2. Step 2: Convert to fraction form
    890.79/1,228.60 = 592.17/x
  3. Step 3: Cross multiply
    890.79x = 1,228.60 × 592.17
  4. Step 4: Simplify right side
    890.79x = 727,540.06
  5. Step 5: Solve for x
    x = 727,540.06/890.79
  6. Step 6: Final answer
    x = 816.74

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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.