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Finding the Fourth Proportional to 527.34, 785.85 and 511.49

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Solution

The fourth proportional to 527.34, 785.85 and 511.49 is: 762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.34 : 785.85 = 511.49 : x
  2. Step 2: Convert to fraction form
    527.34/785.85 = 511.49/x
  3. Step 3: Cross multiply
    527.34x = 785.85 × 511.49
  4. Step 4: Simplify right side
    527.34x = 401,955.13
  5. Step 5: Solve for x
    x = 401,955.13/527.34
  6. Step 6: Final answer
    x = 762.24

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Double scale
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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.