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Finding the Fourth Proportional to 510.70, 704.76 and 277.83

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Solution

The fourth proportional to 510.70, 704.76 and 277.83 is: 383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.70 : 704.76 = 277.83 : x
  2. Step 2: Convert to fraction form
    510.70/704.76 = 277.83/x
  3. Step 3: Cross multiply
    510.70x = 704.76 × 277.83
  4. Step 4: Simplify right side
    510.70x = 195,803.47
  5. Step 5: Solve for x
    x = 195,803.47/510.70
  6. Step 6: Final answer
    x = 383.40

Related Problems

Find fourth proportional to 255.35, 352.38 and 138.92
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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.