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Finding the Fourth Proportional to 968.18, 1,336.08 and 589.96

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Solution

The fourth proportional to 968.18, 1,336.08 and 589.96 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.18 : 1,336.08 = 589.96 : x
  2. Step 2: Convert to fraction form
    968.18/1,336.08 = 589.96/x
  3. Step 3: Cross multiply
    968.18x = 1,336.08 × 589.96
  4. Step 4: Simplify right side
    968.18x = 788,233.76
  5. Step 5: Solve for x
    x = 788,233.76/968.18
  6. Step 6: Final answer
    x = 814.14

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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.