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Finding the Fourth Proportional to 529.59, 790.67 and 477.75

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Solution

The fourth proportional to 529.59, 790.67 and 477.75 is: 713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.59 : 790.67 = 477.75 : x
  2. Step 2: Convert to fraction form
    529.59/790.67 = 477.75/x
  3. Step 3: Cross multiply
    529.59x = 790.67 × 477.75
  4. Step 4: Simplify right side
    529.59x = 377,740.20
  5. Step 5: Solve for x
    x = 377,740.20/529.59
  6. Step 6: Final answer
    x = 713.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.