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Finding the Fourth Proportional to 589.61, 813.30 and 368.48

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Solution

The fourth proportional to 589.61, 813.30 and 368.48 is: 508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.61 : 813.30 = 368.48 : x
  2. Step 2: Convert to fraction form
    589.61/813.30 = 368.48/x
  3. Step 3: Cross multiply
    589.61x = 813.30 × 368.48
  4. Step 4: Simplify right side
    589.61x = 299,684.78
  5. Step 5: Solve for x
    x = 299,684.78/589.61
  6. Step 6: Final answer
    x = 508.28

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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.