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Finding the Fourth Proportional to 714.48, 984.63 and 493.03

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Solution

The fourth proportional to 714.48, 984.63 and 493.03 is: 679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.48 : 984.63 = 493.03 : x
  2. Step 2: Convert to fraction form
    714.48/984.63 = 493.03/x
  3. Step 3: Cross multiply
    714.48x = 984.63 × 493.03
  4. Step 4: Simplify right side
    714.48x = 485,452.13
  5. Step 5: Solve for x
    x = 485,452.13/714.48
  6. Step 6: Final answer
    x = 679.45

Related Problems

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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.