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Finding the Fourth Proportional to 527.70, 729.27 and 511.77

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Solution

The fourth proportional to 527.70, 729.27 and 511.77 is: 707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 729.27 = 511.77 : x
  2. Step 2: Convert to fraction form
    527.70/729.27 = 511.77/x
  3. Step 3: Cross multiply
    527.70x = 729.27 × 511.77
  4. Step 4: Simplify right side
    527.70x = 373,218.51
  5. Step 5: Solve for x
    x = 373,218.51/527.70
  6. Step 6: Final answer
    x = 707.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.