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Finding the Fourth Proportional to 417.51, 621.18 and 409.32

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Solution

The fourth proportional to 417.51, 621.18 and 409.32 is: 608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.51 : 621.18 = 409.32 : x
  2. Step 2: Convert to fraction form
    417.51/621.18 = 409.32/x
  3. Step 3: Cross multiply
    417.51x = 621.18 × 409.32
  4. Step 4: Simplify right side
    417.51x = 254,261.40
  5. Step 5: Solve for x
    x = 254,261.40/417.51
  6. Step 6: Final answer
    x = 608.99

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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.