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Finding the Fourth Proportional to 517.06, 713.55 and 284.19

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Solution

The fourth proportional to 517.06, 713.55 and 284.19 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.06 : 713.55 = 284.19 : x
  2. Step 2: Convert to fraction form
    517.06/713.55 = 284.19/x
  3. Step 3: Cross multiply
    517.06x = 713.55 × 284.19
  4. Step 4: Simplify right side
    517.06x = 202,783.77
  5. Step 5: Solve for x
    x = 202,783.77/517.06
  6. Step 6: Final answer
    x = 392.19

Related Problems

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Double scale
Find fourth proportional to 518.06, 714.93 and 285.19
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.