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Finding the Fourth Proportional to 589.78, 812.60 and 392.95

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Solution

The fourth proportional to 589.78, 812.60 and 392.95 is: 541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 812.60 = 392.95 : x
  2. Step 2: Convert to fraction form
    589.78/812.60 = 392.95/x
  3. Step 3: Cross multiply
    589.78x = 812.60 × 392.95
  4. Step 4: Simplify right side
    589.78x = 319,307.11
  5. Step 5: Solve for x
    x = 319,307.11/589.78
  6. Step 6: Final answer
    x = 541.40

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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.