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Finding the Fourth Proportional to 530.58, 794.64 and 255.78

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Solution

The fourth proportional to 530.58, 794.64 and 255.78 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.58 : 794.64 = 255.78 : x
  2. Step 2: Convert to fraction form
    530.58/794.64 = 255.78/x
  3. Step 3: Cross multiply
    530.58x = 794.64 × 255.78
  4. Step 4: Simplify right side
    530.58x = 203,253.02
  5. Step 5: Solve for x
    x = 203,253.02/530.58
  6. Step 6: Final answer
    x = 383.08

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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.