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Finding the Fourth Proportional to 761.34, 1,050.63 and 429.75

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Solution

The fourth proportional to 761.34, 1,050.63 and 429.75 is: 593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.34 : 1,050.63 = 429.75 : x
  2. Step 2: Convert to fraction form
    761.34/1,050.63 = 429.75/x
  3. Step 3: Cross multiply
    761.34x = 1,050.63 × 429.75
  4. Step 4: Simplify right side
    761.34x = 451,509.32
  5. Step 5: Solve for x
    x = 451,509.32/761.34
  6. Step 6: Final answer
    x = 593.04

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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.