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Finding the Fourth Proportional to 417.69, 623.91 and 410.00

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Solution

The fourth proportional to 417.69, 623.91 and 410.00 is: 612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 623.91 = 410.00 : x
  2. Step 2: Convert to fraction form
    417.69/623.91 = 410.00/x
  3. Step 3: Cross multiply
    417.69x = 623.91 × 410.00
  4. Step 4: Simplify right side
    417.69x = 255,805.63
  5. Step 5: Solve for x
    x = 255,805.63/417.69
  6. Step 6: Final answer
    x = 612.43

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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.