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Finding the Fourth Proportional to 468.99, 647.48 and 417.08

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Solution

The fourth proportional to 468.99, 647.48 and 417.08 is: 575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.99 : 647.48 = 417.08 : x
  2. Step 2: Convert to fraction form
    468.99/647.48 = 417.08/x
  3. Step 3: Cross multiply
    468.99x = 647.48 × 417.08
  4. Step 4: Simplify right side
    468.99x = 270,051.71
  5. Step 5: Solve for x
    x = 270,051.71/468.99
  6. Step 6: Final answer
    x = 575.82

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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.