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Finding the Fourth Proportional to 666.78, 921.42 and 567.15

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Solution

The fourth proportional to 666.78, 921.42 and 567.15 is: 783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.78 : 921.42 = 567.15 : x
  2. Step 2: Convert to fraction form
    666.78/921.42 = 567.15/x
  3. Step 3: Cross multiply
    666.78x = 921.42 × 567.15
  4. Step 4: Simplify right side
    666.78x = 522,583.35
  5. Step 5: Solve for x
    x = 522,583.35/666.78
  6. Step 6: Final answer
    x = 783.74

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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.