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Finding the Fourth Proportional to 419.47, 578.95 and 313.66

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Solution

The fourth proportional to 419.47, 578.95 and 313.66 is: 432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.47 : 578.95 = 313.66 : x
  2. Step 2: Convert to fraction form
    419.47/578.95 = 313.66/x
  3. Step 3: Cross multiply
    419.47x = 578.95 × 313.66
  4. Step 4: Simplify right side
    419.47x = 181,593.59
  5. Step 5: Solve for x
    x = 181,593.59/419.47
  6. Step 6: Final answer
    x = 432.91

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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.