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Finding the Fourth Proportional to 714.47, 986.18 and 493.20

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Solution

The fourth proportional to 714.47, 986.18 and 493.20 is: 680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.47 : 986.18 = 493.20 : x
  2. Step 2: Convert to fraction form
    714.47/986.18 = 493.20/x
  3. Step 3: Cross multiply
    714.47x = 986.18 × 493.20
  4. Step 4: Simplify right side
    714.47x = 486,381.51
  5. Step 5: Solve for x
    x = 486,381.51/714.47
  6. Step 6: Final answer
    x = 680.76

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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.