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Finding the Fourth Proportional to 653.42, 901.78 and 404.76

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Solution

The fourth proportional to 653.42, 901.78 and 404.76 is: 558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.42 : 901.78 = 404.76 : x
  2. Step 2: Convert to fraction form
    653.42/901.78 = 404.76/x
  3. Step 3: Cross multiply
    653.42x = 901.78 × 404.76
  4. Step 4: Simplify right side
    653.42x = 365,004.47
  5. Step 5: Solve for x
    x = 365,004.47/653.42
  6. Step 6: Final answer
    x = 558.61

Related Problems

Find fourth proportional to 326.71, 450.89 and 202.38
Half scale
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Double scale
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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.