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Finding the Fourth Proportional to 477.68, 657.24 and 466.76

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Solution

The fourth proportional to 477.68, 657.24 and 466.76 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.68 : 657.24 = 466.76 : x
  2. Step 2: Convert to fraction form
    477.68/657.24 = 466.76/x
  3. Step 3: Cross multiply
    477.68x = 657.24 × 466.76
  4. Step 4: Simplify right side
    477.68x = 306,773.34
  5. Step 5: Solve for x
    x = 306,773.34/477.68
  6. Step 6: Final answer
    x = 642.22

Related Problems

Find fourth proportional to 238.84, 328.62 and 233.38
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.