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Finding the Fourth Proportional to 654.56, 977.86 and 650.96

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Solution

The fourth proportional to 654.56, 977.86 and 650.96 is: 972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.56 : 977.86 = 650.96 : x
  2. Step 2: Convert to fraction form
    654.56/977.86 = 650.96/x
  3. Step 3: Cross multiply
    654.56x = 977.86 × 650.96
  4. Step 4: Simplify right side
    654.56x = 636,547.75
  5. Step 5: Solve for x
    x = 636,547.75/654.56
  6. Step 6: Final answer
    x = 972.48

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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.