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Finding the Fourth Proportional to 527.52, 786.12 and 510.11

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Solution

The fourth proportional to 527.52, 786.12 and 510.11 is: 760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.52 : 786.12 = 510.11 : x
  2. Step 2: Convert to fraction form
    527.52/786.12 = 510.11/x
  3. Step 3: Cross multiply
    527.52x = 786.12 × 510.11
  4. Step 4: Simplify right side
    527.52x = 401,003.74
  5. Step 5: Solve for x
    x = 401,003.74/527.52
  6. Step 6: Final answer
    x = 760.17

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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.