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Finding the Fourth Proportional to 502.76, 694.24 and 378.21

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Solution

The fourth proportional to 502.76, 694.24 and 378.21 is: 522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.76 : 694.24 = 378.21 : x
  2. Step 2: Convert to fraction form
    502.76/694.24 = 378.21/x
  3. Step 3: Cross multiply
    502.76x = 694.24 × 378.21
  4. Step 4: Simplify right side
    502.76x = 262,567.56
  5. Step 5: Solve for x
    x = 262,567.56/502.76
  6. Step 6: Final answer
    x = 522.25

Related Problems

Find fourth proportional to 251.38, 347.12 and 189.11
Half scale
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Double scale
Find fourth proportional to 503.76, 695.62 and 379.21
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.