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Finding the Fourth Proportional to 761.67, 1,050.76 and 596.35

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Solution

The fourth proportional to 761.67, 1,050.76 and 596.35 is: 822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.67 : 1,050.76 = 596.35 : x
  2. Step 2: Convert to fraction form
    761.67/1,050.76 = 596.35/x
  3. Step 3: Cross multiply
    761.67x = 1,050.76 × 596.35
  4. Step 4: Simplify right side
    761.67x = 626,620.73
  5. Step 5: Solve for x
    x = 626,620.73/761.67
  6. Step 6: Final answer
    x = 822.69

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1.5x scale

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.