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Finding the Fourth Proportional to 517.24, 713.76 and 370.22

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Solution

The fourth proportional to 517.24, 713.76 and 370.22 is: 510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.24 : 713.76 = 370.22 : x
  2. Step 2: Convert to fraction form
    517.24/713.76 = 370.22/x
  3. Step 3: Cross multiply
    517.24x = 713.76 × 370.22
  4. Step 4: Simplify right side
    517.24x = 264,246.38
  5. Step 5: Solve for x
    x = 264,246.38/517.24
  6. Step 6: Final answer
    x = 510.88

Related Problems

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Half scale
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Double scale
Find fourth proportional to 518.24, 715.13 and 371.22
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.