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Finding the Fourth Proportional to 654.12, 903.81 and 630.77

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Solution

The fourth proportional to 654.12, 903.81 and 630.77 is: 871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 903.81 = 630.77 : x
  2. Step 2: Convert to fraction form
    654.12/903.81 = 630.77/x
  3. Step 3: Cross multiply
    654.12x = 903.81 × 630.77
  4. Step 4: Simplify right side
    654.12x = 570,091.71
  5. Step 5: Solve for x
    x = 570,091.71/654.12
  6. Step 6: Final answer
    x = 871.54

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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.