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Finding the Fourth Proportional to 507.84, 700.76 and 286.76

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Solution

The fourth proportional to 507.84, 700.76 and 286.76 is: 395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 700.76 = 286.76 : x
  2. Step 2: Convert to fraction form
    507.84/700.76 = 286.76/x
  3. Step 3: Cross multiply
    507.84x = 700.76 × 286.76
  4. Step 4: Simplify right side
    507.84x = 200,949.94
  5. Step 5: Solve for x
    x = 200,949.94/507.84
  6. Step 6: Final answer
    x = 395.70

Related Problems

Find fourth proportional to 253.92, 350.38 and 143.38
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Double scale
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Similar ratio
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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.