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Finding the Fourth Proportional to 417.04, 621.83 and 401.65

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Solution

The fourth proportional to 417.04, 621.83 and 401.65 is: 598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.04 : 621.83 = 401.65 : x
  2. Step 2: Convert to fraction form
    417.04/621.83 = 401.65/x
  3. Step 3: Cross multiply
    417.04x = 621.83 × 401.65
  4. Step 4: Simplify right side
    417.04x = 249,758.02
  5. Step 5: Solve for x
    x = 249,758.02/417.04
  6. Step 6: Final answer
    x = 598.88

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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.