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Finding the Fourth Proportional to 504.66, 696.03 and 417.18

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Solution

The fourth proportional to 504.66, 696.03 and 417.18 is: 575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 696.03 = 417.18 : x
  2. Step 2: Convert to fraction form
    504.66/696.03 = 417.18/x
  3. Step 3: Cross multiply
    504.66x = 696.03 × 417.18
  4. Step 4: Simplify right side
    504.66x = 290,369.80
  5. Step 5: Solve for x
    x = 290,369.80/504.66
  6. Step 6: Final answer
    x = 575.38

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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.