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Finding the Fourth Proportional to 653.09, 974.85 and 567.02

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Solution

The fourth proportional to 653.09, 974.85 and 567.02 is: 846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.09 : 974.85 = 567.02 : x
  2. Step 2: Convert to fraction form
    653.09/974.85 = 567.02/x
  3. Step 3: Cross multiply
    653.09x = 974.85 × 567.02
  4. Step 4: Simplify right side
    653.09x = 552,759.76
  5. Step 5: Solve for x
    x = 552,759.76/653.09
  6. Step 6: Final answer
    x = 846.38

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.