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Finding the Fourth Proportional to 761.40, 1,050.74 and 429.83

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Solution

The fourth proportional to 761.40, 1,050.74 and 429.83 is: 593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.40 : 1,050.74 = 429.83 : x
  2. Step 2: Convert to fraction form
    761.40/1,050.74 = 429.83/x
  3. Step 3: Cross multiply
    761.40x = 1,050.74 × 429.83
  4. Step 4: Simplify right side
    761.40x = 451,638.50
  5. Step 5: Solve for x
    x = 451,638.50/761.40
  6. Step 6: Final answer
    x = 593.17

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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.