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Finding the Fourth Proportional to 505.12, 761.44 and 471.67

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Solution

The fourth proportional to 505.12, 761.44 and 471.67 is: 711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.12 : 761.44 = 471.67 : x
  2. Step 2: Convert to fraction form
    505.12/761.44 = 471.67/x
  3. Step 3: Cross multiply
    505.12x = 761.44 × 471.67
  4. Step 4: Simplify right side
    505.12x = 359,148.40
  5. Step 5: Solve for x
    x = 359,148.40/505.12
  6. Step 6: Final answer
    x = 711.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.