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Finding the Fourth Proportional to 510.90, 704.61 and 380.22

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Solution

The fourth proportional to 510.90, 704.61 and 380.22 is: 524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 704.61 = 380.22 : x
  2. Step 2: Convert to fraction form
    510.90/704.61 = 380.22/x
  3. Step 3: Cross multiply
    510.90x = 704.61 × 380.22
  4. Step 4: Simplify right side
    510.90x = 267,906.81
  5. Step 5: Solve for x
    x = 267,906.81/510.90
  6. Step 6: Final answer
    x = 524.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 511.90, 705.99 and 381.22
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.