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Finding the Fourth Proportional to 657.68, 906.54 and 460.76

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Solution

The fourth proportional to 657.68, 906.54 and 460.76 is: 635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 906.54 = 460.76 : x
  2. Step 2: Convert to fraction form
    657.68/906.54 = 460.76/x
  3. Step 3: Cross multiply
    657.68x = 906.54 × 460.76
  4. Step 4: Simplify right side
    657.68x = 417,697.37
  5. Step 5: Solve for x
    x = 417,697.37/657.68
  6. Step 6: Final answer
    x = 635.11

Related Problems

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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.