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Finding the Fourth Proportional to 761.51, 1,142.21 and 469.06

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Solution

The fourth proportional to 761.51, 1,142.21 and 469.06 is: 703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.51 : 1,142.21 = 469.06 : x
  2. Step 2: Convert to fraction form
    761.51/1,142.21 = 469.06/x
  3. Step 3: Cross multiply
    761.51x = 1,142.21 × 469.06
  4. Step 4: Simplify right side
    761.51x = 535,765.02
  5. Step 5: Solve for x
    x = 535,765.02/761.51
  6. Step 6: Final answer
    x = 703.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.