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Finding the Fourth Proportional to 657.20, 931.64 and 657.20

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Solution

The fourth proportional to 657.20, 931.64 and 657.20 is: 931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 931.64 = 657.20 : x
  2. Step 2: Convert to fraction form
    657.20/931.64 = 657.20/x
  3. Step 3: Cross multiply
    657.20x = 931.64 × 657.20
  4. Step 4: Simplify right side
    657.20x = 612,273.81
  5. Step 5: Solve for x
    x = 612,273.81/657.20
  6. Step 6: Final answer
    x = 931.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.