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Finding the Fourth Proportional to 509.80, 703.20 and 370.12

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Solution

The fourth proportional to 509.80, 703.20 and 370.12 is: 510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 703.20 = 370.12 : x
  2. Step 2: Convert to fraction form
    509.80/703.20 = 370.12/x
  3. Step 3: Cross multiply
    509.80x = 703.20 × 370.12
  4. Step 4: Simplify right side
    509.80x = 260,268.38
  5. Step 5: Solve for x
    x = 260,268.38/509.80
  6. Step 6: Final answer
    x = 510.53

Related Problems

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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.