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Finding the Fourth Proportional to 761.67, 1,050.96 and 430.02

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Solution

The fourth proportional to 761.67, 1,050.96 and 430.02 is: 593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.67 : 1,050.96 = 430.02 : x
  2. Step 2: Convert to fraction form
    761.67/1,050.96 = 430.02/x
  3. Step 3: Cross multiply
    761.67x = 1,050.96 × 430.02
  4. Step 4: Simplify right side
    761.67x = 451,933.82
  5. Step 5: Solve for x
    x = 451,933.82/761.67
  6. Step 6: Final answer
    x = 593.35

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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.