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Finding the Fourth Proportional to 510.78, 704.76 and 378.20

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Solution

The fourth proportional to 510.78, 704.76 and 378.20 is: 521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.78 : 704.76 = 378.20 : x
  2. Step 2: Convert to fraction form
    510.78/704.76 = 378.20/x
  3. Step 3: Cross multiply
    510.78x = 704.76 × 378.20
  4. Step 4: Simplify right side
    510.78x = 266,540.23
  5. Step 5: Solve for x
    x = 266,540.23/510.78
  6. Step 6: Final answer
    x = 521.83

Related Problems

Find fourth proportional to 255.39, 352.38 and 189.10
Half scale
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Double scale
Find fourth proportional to 511.78, 706.14 and 379.20
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.