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Finding the Fourth Proportional to 438.12, 652.68 and 417.06

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Solution

The fourth proportional to 438.12, 652.68 and 417.06 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 652.68 = 417.06 : x
  2. Step 2: Convert to fraction form
    438.12/652.68 = 417.06/x
  3. Step 3: Cross multiply
    438.12x = 652.68 × 417.06
  4. Step 4: Simplify right side
    438.12x = 272,206.72
  5. Step 5: Solve for x
    x = 272,206.72/438.12
  6. Step 6: Final answer
    x = 621.31

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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.