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Finding the Fourth Proportional to 416.42, 621.58 and 386.40

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Solution

The fourth proportional to 416.42, 621.58 and 386.40 is: 576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.42 : 621.58 = 386.40 : x
  2. Step 2: Convert to fraction form
    416.42/621.58 = 386.40/x
  3. Step 3: Cross multiply
    416.42x = 621.58 × 386.40
  4. Step 4: Simplify right side
    416.42x = 240,178.51
  5. Step 5: Solve for x
    x = 240,178.51/416.42
  6. Step 6: Final answer
    x = 576.77

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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.