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Finding the Fourth Proportional to 767.13, 1,143.96 and 669.93

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Solution

The fourth proportional to 767.13, 1,143.96 and 669.93 is: 999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.13 : 1,143.96 = 669.93 : x
  2. Step 2: Convert to fraction form
    767.13/1,143.96 = 669.93/x
  3. Step 3: Cross multiply
    767.13x = 1,143.96 × 669.93
  4. Step 4: Simplify right side
    767.13x = 766,373.12
  5. Step 5: Solve for x
    x = 766,373.12/767.13
  6. Step 6: Final answer
    x = 999.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.