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Finding the Fourth Proportional to 407.55, 608.35 and 377.47

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Solution

The fourth proportional to 407.55, 608.35 and 377.47 is: 563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.55 : 608.35 = 377.47 : x
  2. Step 2: Convert to fraction form
    407.55/608.35 = 377.47/x
  3. Step 3: Cross multiply
    407.55x = 608.35 × 377.47
  4. Step 4: Simplify right side
    407.55x = 229,631.30
  5. Step 5: Solve for x
    x = 229,631.30/407.55
  6. Step 6: Final answer
    x = 563.45

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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.