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Finding the Fourth Proportional to 626.53, 864.75 and 417.07

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Solution

The fourth proportional to 626.53, 864.75 and 417.07 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.53 : 864.75 = 417.07 : x
  2. Step 2: Convert to fraction form
    626.53/864.75 = 417.07/x
  3. Step 3: Cross multiply
    626.53x = 864.75 × 417.07
  4. Step 4: Simplify right side
    626.53x = 360,661.28
  5. Step 5: Solve for x
    x = 360,661.28/626.53
  6. Step 6: Final answer
    x = 575.65

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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.