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Finding the Fourth Proportional to 601.40, 901.04 and 417.94

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Solution

The fourth proportional to 601.40, 901.04 and 417.94 is: 626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.40 : 901.04 = 417.94 : x
  2. Step 2: Convert to fraction form
    601.40/901.04 = 417.94/x
  3. Step 3: Cross multiply
    601.40x = 901.04 × 417.94
  4. Step 4: Simplify right side
    601.40x = 376,574.85
  5. Step 5: Solve for x
    x = 376,574.85/601.40
  6. Step 6: Final answer
    x = 626.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.