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Finding the Fourth Proportional to 503.38, 693.87 and 463.15

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Solution

The fourth proportional to 503.38, 693.87 and 463.15 is: 638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.38 : 693.87 = 463.15 : x
  2. Step 2: Convert to fraction form
    503.38/693.87 = 463.15/x
  3. Step 3: Cross multiply
    503.38x = 693.87 × 463.15
  4. Step 4: Simplify right side
    503.38x = 321,365.89
  5. Step 5: Solve for x
    x = 321,365.89/503.38
  6. Step 6: Final answer
    x = 638.42

Related Problems

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Double scale
Find fourth proportional to 504.38, 695.25 and 464.15
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.