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Finding the Fourth Proportional to 666.78, 920.04 and 404.76

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Solution

The fourth proportional to 666.78, 920.04 and 404.76 is: 558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.78 : 920.04 = 404.76 : x
  2. Step 2: Convert to fraction form
    666.78/920.04 = 404.76/x
  3. Step 3: Cross multiply
    666.78x = 920.04 × 404.76
  4. Step 4: Simplify right side
    666.78x = 372,395.39
  5. Step 5: Solve for x
    x = 372,395.39/666.78
  6. Step 6: Final answer
    x = 558.50

Related Problems

Find fourth proportional to 333.39, 460.02 and 202.38
Half scale
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Double scale
Find fourth proportional to 667.78, 921.42 and 405.76
Similar ratio
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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.