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Finding the Fourth Proportional to 669.12, 928.56 and 653.76

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Solution

The fourth proportional to 669.12, 928.56 and 653.76 is: 907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.12 : 928.56 = 653.76 : x
  2. Step 2: Convert to fraction form
    669.12/928.56 = 653.76/x
  3. Step 3: Cross multiply
    669.12x = 928.56 × 653.76
  4. Step 4: Simplify right side
    669.12x = 607,055.39
  5. Step 5: Solve for x
    x = 607,055.39/669.12
  6. Step 6: Final answer
    x = 907.24

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