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Finding the Fourth Proportional to 423.59, 630.65 and 417.51

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Solution

The fourth proportional to 423.59, 630.65 and 417.51 is: 621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.59 : 630.65 = 417.51 : x
  2. Step 2: Convert to fraction form
    423.59/630.65 = 417.51/x
  3. Step 3: Cross multiply
    423.59x = 630.65 × 417.51
  4. Step 4: Simplify right side
    423.59x = 263,303.73
  5. Step 5: Solve for x
    x = 263,303.73/423.59
  6. Step 6: Final answer
    x = 621.61

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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.