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Finding the Fourth Proportional to 678.99, 937.04 and 417.09

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Solution

The fourth proportional to 678.99, 937.04 and 417.09 is: 575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.99 : 937.04 = 417.09 : x
  2. Step 2: Convert to fraction form
    678.99/937.04 = 417.09/x
  3. Step 3: Cross multiply
    678.99x = 937.04 × 417.09
  4. Step 4: Simplify right side
    678.99x = 390,827.93
  5. Step 5: Solve for x
    x = 390,827.93/678.99
  6. Step 6: Final answer
    x = 575.60

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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.