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Finding the Fourth Proportional to 423.53, 630.56 and 417.45

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Solution

The fourth proportional to 423.53, 630.56 and 417.45 is: 621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.53 : 630.56 = 417.45 : x
  2. Step 2: Convert to fraction form
    423.53/630.56 = 417.45/x
  3. Step 3: Cross multiply
    423.53x = 630.56 × 417.45
  4. Step 4: Simplify right side
    423.53x = 263,227.27
  5. Step 5: Solve for x
    x = 263,227.27/423.53
  6. Step 6: Final answer
    x = 621.52

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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.