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Finding the Fourth Proportional to 907.42, 1,251.96 and 514.37

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Solution

The fourth proportional to 907.42, 1,251.96 and 514.37 is: 709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.42 : 1,251.96 = 514.37 : x
  2. Step 2: Convert to fraction form
    907.42/1,251.96 = 514.37/x
  3. Step 3: Cross multiply
    907.42x = 1,251.96 × 514.37
  4. Step 4: Simplify right side
    907.42x = 643,970.67
  5. Step 5: Solve for x
    x = 643,970.67/907.42
  6. Step 6: Final answer
    x = 709.67

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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.