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Finding the Fourth Proportional to 667.36, 920.76 and 457.12

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Solution

The fourth proportional to 667.36, 920.76 and 457.12 is: 630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.36 : 920.76 = 457.12 : x
  2. Step 2: Convert to fraction form
    667.36/920.76 = 457.12/x
  3. Step 3: Cross multiply
    667.36x = 920.76 × 457.12
  4. Step 4: Simplify right side
    667.36x = 420,897.81
  5. Step 5: Solve for x
    x = 420,897.81/667.36
  6. Step 6: Final answer
    x = 630.69

Related Problems

Find fourth proportional to 333.68, 460.38 and 228.56
Half scale
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Double scale
Find fourth proportional to 668.36, 922.14 and 458.12
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.