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Finding the Fourth Proportional to 407.18, 607.76 and 374.64

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Solution

The fourth proportional to 407.18, 607.76 and 374.64 is: 559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.18 : 607.76 = 374.64 : x
  2. Step 2: Convert to fraction form
    407.18/607.76 = 374.64/x
  3. Step 3: Cross multiply
    407.18x = 607.76 × 374.64
  4. Step 4: Simplify right side
    407.18x = 227,689.33
  5. Step 5: Solve for x
    x = 227,689.33/407.18
  6. Step 6: Final answer
    x = 559.19

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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.