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Finding the Fourth Proportional to 527.35, 722.48 and 507.65

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Solution

The fourth proportional to 527.35, 722.48 and 507.65 is: 695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.35 : 722.48 = 507.65 : x
  2. Step 2: Convert to fraction form
    527.35/722.48 = 507.65/x
  3. Step 3: Cross multiply
    527.35x = 722.48 × 507.65
  4. Step 4: Simplify right side
    527.35x = 366,766.97
  5. Step 5: Solve for x
    x = 366,766.97/527.35
  6. Step 6: Final answer
    x = 695.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.