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Finding the Fourth Proportional to 589.28, 812.79 and 392.76

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Solution

The fourth proportional to 589.28, 812.79 and 392.76 is: 541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.28 : 812.79 = 392.76 : x
  2. Step 2: Convert to fraction form
    589.28/812.79 = 392.76/x
  3. Step 3: Cross multiply
    589.28x = 812.79 × 392.76
  4. Step 4: Simplify right side
    589.28x = 319,231.40
  5. Step 5: Solve for x
    x = 319,231.40/589.28
  6. Step 6: Final answer
    x = 541.74

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Find fourth proportional to 294.64, 406.40 and 196.38
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1.5x scale

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.