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Finding the Fourth Proportional to 761.09, 1,050.29 and 429.55

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Solution

The fourth proportional to 761.09, 1,050.29 and 429.55 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.09 : 1,050.29 = 429.55 : x
  2. Step 2: Convert to fraction form
    761.09/1,050.29 = 429.55/x
  3. Step 3: Cross multiply
    761.09x = 1,050.29 × 429.55
  4. Step 4: Simplify right side
    761.09x = 451,152.07
  5. Step 5: Solve for x
    x = 451,152.07/761.09
  6. Step 6: Final answer
    x = 592.77

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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.