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Finding the Fourth Proportional to 765.93, 1,153.06 and 697.89

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Solution

The fourth proportional to 765.93, 1,153.06 and 697.89 is: 1,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.93 : 1,153.06 = 697.89 : x
  2. Step 2: Convert to fraction form
    765.93/1,153.06 = 697.89/x
  3. Step 3: Cross multiply
    765.93x = 1,153.06 × 697.89
  4. Step 4: Simplify right side
    765.93x = 804,709.04
  5. Step 5: Solve for x
    x = 804,709.04/765.93
  6. Step 6: Final answer
    x = 1,050.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.