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Finding the Fourth Proportional to 527.90, 790.62 and 509.67

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Solution

The fourth proportional to 527.90, 790.62 and 509.67 is: 763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.90 : 790.62 = 509.67 : x
  2. Step 2: Convert to fraction form
    527.90/790.62 = 509.67/x
  3. Step 3: Cross multiply
    527.90x = 790.62 × 509.67
  4. Step 4: Simplify right side
    527.90x = 402,955.30
  5. Step 5: Solve for x
    x = 402,955.30/527.90
  6. Step 6: Final answer
    x = 763.32

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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.