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Finding the Fourth Proportional to 407.61, 608.13 and 389.58

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Solution

The fourth proportional to 407.61, 608.13 and 389.58 is: 581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.61 : 608.13 = 389.58 : x
  2. Step 2: Convert to fraction form
    407.61/608.13 = 389.58/x
  3. Step 3: Cross multiply
    407.61x = 608.13 × 389.58
  4. Step 4: Simplify right side
    407.61x = 236,915.29
  5. Step 5: Solve for x
    x = 236,915.29/407.61
  6. Step 6: Final answer
    x = 581.23

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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.