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Finding the Fourth Proportional to 417.74, 623.75 and 339.82

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Solution

The fourth proportional to 417.74, 623.75 and 339.82 is: 507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.74 : 623.75 = 339.82 : x
  2. Step 2: Convert to fraction form
    417.74/623.75 = 339.82/x
  3. Step 3: Cross multiply
    417.74x = 623.75 × 339.82
  4. Step 4: Simplify right side
    417.74x = 211,959.47
  5. Step 5: Solve for x
    x = 211,959.47/417.74
  6. Step 6: Final answer
    x = 507.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.