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Finding the Fourth Proportional to 654.48, 983.34 and 491.67

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Solution

The fourth proportional to 654.48, 983.34 and 491.67 is: 738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 983.34 = 491.67 : x
  2. Step 2: Convert to fraction form
    654.48/983.34 = 491.67/x
  3. Step 3: Cross multiply
    654.48x = 983.34 × 491.67
  4. Step 4: Simplify right side
    654.48x = 483,478.78
  5. Step 5: Solve for x
    x = 483,478.78/654.48
  6. Step 6: Final answer
    x = 738.72

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.