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Finding the Fourth Proportional to 503.81, 693.67 and 457.68

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Solution

The fourth proportional to 503.81, 693.67 and 457.68 is: 630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.81 : 693.67 = 457.68 : x
  2. Step 2: Convert to fraction form
    503.81/693.67 = 457.68/x
  3. Step 3: Cross multiply
    503.81x = 693.67 × 457.68
  4. Step 4: Simplify right side
    503.81x = 317,475.42
  5. Step 5: Solve for x
    x = 317,475.42/503.81
  6. Step 6: Final answer
    x = 630.15

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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.