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Finding the Fourth Proportional to 459.74, 634.71 and 302.63

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Solution

The fourth proportional to 459.74, 634.71 and 302.63 is: 417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.74 : 634.71 = 302.63 : x
  2. Step 2: Convert to fraction form
    459.74/634.71 = 302.63/x
  3. Step 3: Cross multiply
    459.74x = 634.71 × 302.63
  4. Step 4: Simplify right side
    459.74x = 192,079.11
  5. Step 5: Solve for x
    x = 192,079.11/459.74
  6. Step 6: Final answer
    x = 417.80

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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.