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Finding the Fourth Proportional to 529.95, 794.70 and 256.13

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Solution

The fourth proportional to 529.95, 794.70 and 256.13 is: 384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.95 : 794.70 = 256.13 : x
  2. Step 2: Convert to fraction form
    529.95/794.70 = 256.13/x
  3. Step 3: Cross multiply
    529.95x = 794.70 × 256.13
  4. Step 4: Simplify right side
    529.95x = 203,542.54
  5. Step 5: Solve for x
    x = 203,542.54/529.95
  6. Step 6: Final answer
    x = 384.08

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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.