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Finding the Fourth Proportional to 653.76, 899.87 and 560.41

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Solution

The fourth proportional to 653.76, 899.87 and 560.41 is: 771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 899.87 = 560.41 : x
  2. Step 2: Convert to fraction form
    653.76/899.87 = 560.41/x
  3. Step 3: Cross multiply
    653.76x = 899.87 × 560.41
  4. Step 4: Simplify right side
    653.76x = 504,296.15
  5. Step 5: Solve for x
    x = 504,296.15/653.76
  6. Step 6: Final answer
    x = 771.38

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.