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Finding the Fourth Proportional to 578.61, 798.35 and 436.97

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Solution

The fourth proportional to 578.61, 798.35 and 436.97 is: 602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.61 : 798.35 = 436.97 : x
  2. Step 2: Convert to fraction form
    578.61/798.35 = 436.97/x
  3. Step 3: Cross multiply
    578.61x = 798.35 × 436.97
  4. Step 4: Simplify right side
    578.61x = 348,854.81
  5. Step 5: Solve for x
    x = 348,854.81/578.61
  6. Step 6: Final answer
    x = 602.92

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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.