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Finding the Fourth Proportional to 666.76, 920.37 and 477.94

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Solution

The fourth proportional to 666.76, 920.37 and 477.94 is: 659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.76 : 920.37 = 477.94 : x
  2. Step 2: Convert to fraction form
    666.76/920.37 = 477.94/x
  3. Step 3: Cross multiply
    666.76x = 920.37 × 477.94
  4. Step 4: Simplify right side
    666.76x = 439,881.64
  5. Step 5: Solve for x
    x = 439,881.64/666.76
  6. Step 6: Final answer
    x = 659.73

Related Problems

Find fourth proportional to 333.38, 460.19 and 238.97
Half scale
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Double scale
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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.