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Finding the Fourth Proportional to 514.33, 709.23 and 365.11

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Solution

The fourth proportional to 514.33, 709.23 and 365.11 is: 503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.33 : 709.23 = 365.11 : x
  2. Step 2: Convert to fraction form
    514.33/709.23 = 365.11/x
  3. Step 3: Cross multiply
    514.33x = 709.23 × 365.11
  4. Step 4: Simplify right side
    514.33x = 258,946.97
  5. Step 5: Solve for x
    x = 258,946.97/514.33
  6. Step 6: Final answer
    x = 503.46

Related Problems

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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.