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Finding the Fourth Proportional to 507.85, 700.78 and 286.76

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Solution

The fourth proportional to 507.85, 700.78 and 286.76 is: 395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.85 : 700.78 = 286.76 : x
  2. Step 2: Convert to fraction form
    507.85/700.78 = 286.76/x
  3. Step 3: Cross multiply
    507.85x = 700.78 × 286.76
  4. Step 4: Simplify right side
    507.85x = 200,955.67
  5. Step 5: Solve for x
    x = 200,955.67/507.85
  6. Step 6: Final answer
    x = 395.70

Related Problems

Find fourth proportional to 253.93, 350.39 and 143.38
Half scale
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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.