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Finding the Fourth Proportional to 666.76, 920 and 401.32

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Solution

The fourth proportional to 666.76, 920 and 401.32 is: 553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.76 : 920 = 401.32 : x
  2. Step 2: Convert to fraction form
    666.76/920 = 401.32/x
  3. Step 3: Cross multiply
    666.76x = 920 × 401.32
  4. Step 4: Simplify right side
    666.76x = 369,214.40
  5. Step 5: Solve for x
    x = 369,214.40/666.76
  6. Step 6: Final answer
    x = 553.74

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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.