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Finding the Fourth Proportional to 589.06, 812.58 and 478.34

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Solution

The fourth proportional to 589.06, 812.58 and 478.34 is: 659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.06 : 812.58 = 478.34 : x
  2. Step 2: Convert to fraction form
    589.06/812.58 = 478.34/x
  3. Step 3: Cross multiply
    589.06x = 812.58 × 478.34
  4. Step 4: Simplify right side
    589.06x = 388,689.52
  5. Step 5: Solve for x
    x = 388,689.52/589.06
  6. Step 6: Final answer
    x = 659.85

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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.