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Finding the Fourth Proportional to 597.60, 818.04 and 578.40

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Solution

The fourth proportional to 597.60, 818.04 and 578.40 is: 791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.60 : 818.04 = 578.40 : x
  2. Step 2: Convert to fraction form
    597.60/818.04 = 578.40/x
  3. Step 3: Cross multiply
    597.60x = 818.04 × 578.40
  4. Step 4: Simplify right side
    597.60x = 473,154.34
  5. Step 5: Solve for x
    x = 473,154.34/597.60
  6. Step 6: Final answer
    x = 791.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.