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Finding the Fourth Proportional to 689.03, 950.81 and 378.53

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Solution

The fourth proportional to 689.03, 950.81 and 378.53 is: 522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.03 : 950.81 = 378.53 : x
  2. Step 2: Convert to fraction form
    689.03/950.81 = 378.53/x
  3. Step 3: Cross multiply
    689.03x = 950.81 × 378.53
  4. Step 4: Simplify right side
    689.03x = 359,908.22
  5. Step 5: Solve for x
    x = 359,908.22/689.03
  6. Step 6: Final answer
    x = 522.34

Related Problems

Find fourth proportional to 344.52, 475.40 and 189.27
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.