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Finding the Fourth Proportional to 515.62, 711.57 and 282.76

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Solution

The fourth proportional to 515.62, 711.57 and 282.76 is: 390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.62 : 711.57 = 282.76 : x
  2. Step 2: Convert to fraction form
    515.62/711.57 = 282.76/x
  3. Step 3: Cross multiply
    515.62x = 711.57 × 282.76
  4. Step 4: Simplify right side
    515.62x = 201,203.53
  5. Step 5: Solve for x
    x = 201,203.53/515.62
  6. Step 6: Final answer
    x = 390.22

Related Problems

Find fourth proportional to 257.81, 355.79 and 141.38
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Double scale
Find fourth proportional to 516.62, 712.95 and 283.76
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.