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Finding the Fourth Proportional to 666.93, 919.83 and 500.16

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Solution

The fourth proportional to 666.93, 919.83 and 500.16 is: 689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.93 : 919.83 = 500.16 : x
  2. Step 2: Convert to fraction form
    666.93/919.83 = 500.16/x
  3. Step 3: Cross multiply
    666.93x = 919.83 × 500.16
  4. Step 4: Simplify right side
    666.93x = 460,062.17
  5. Step 5: Solve for x
    x = 460,062.17/666.93
  6. Step 6: Final answer
    x = 689.82

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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.