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Finding the Fourth Proportional to 527.82, 790.68 and 322.50

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Solution

The fourth proportional to 527.82, 790.68 and 322.50 is: 483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.82 : 790.68 = 322.50 : x
  2. Step 2: Convert to fraction form
    527.82/790.68 = 322.50/x
  3. Step 3: Cross multiply
    527.82x = 790.68 × 322.50
  4. Step 4: Simplify right side
    527.82x = 254,994.30
  5. Step 5: Solve for x
    x = 254,994.30/527.82
  6. Step 6: Final answer
    x = 483.11

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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.