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Finding the Fourth Proportional to 713.53, 984.45 and 493.03

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Solution

The fourth proportional to 713.53, 984.45 and 493.03 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.53 : 984.45 = 493.03 : x
  2. Step 2: Convert to fraction form
    713.53/984.45 = 493.03/x
  3. Step 3: Cross multiply
    713.53x = 984.45 × 493.03
  4. Step 4: Simplify right side
    713.53x = 485,363.38
  5. Step 5: Solve for x
    x = 485,363.38/713.53
  6. Step 6: Final answer
    x = 680.23

Related Problems

Find fourth proportional to 356.77, 492.23 and 246.52
Half scale
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Double scale
Find fourth proportional to 714.53, 985.83 and 494.03
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.