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Finding the Fourth Proportional to 529.10, 794.55 and 392.30

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Solution

The fourth proportional to 529.10, 794.55 and 392.30 is: 589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.10 : 794.55 = 392.30 : x
  2. Step 2: Convert to fraction form
    529.10/794.55 = 392.30/x
  3. Step 3: Cross multiply
    529.10x = 794.55 × 392.30
  4. Step 4: Simplify right side
    529.10x = 311,701.97
  5. Step 5: Solve for x
    x = 311,701.97/529.10
  6. Step 6: Final answer
    x = 589.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.