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Finding the Fourth Proportional to 666.40, 918.66 and 500.62

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Solution

The fourth proportional to 666.40, 918.66 and 500.62 is: 690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.40 : 918.66 = 500.62 : x
  2. Step 2: Convert to fraction form
    666.40/918.66 = 500.62/x
  3. Step 3: Cross multiply
    666.40x = 918.66 × 500.62
  4. Step 4: Simplify right side
    666.40x = 459,899.57
  5. Step 5: Solve for x
    x = 459,899.57/666.40
  6. Step 6: Final answer
    x = 690.13

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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.