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Finding the Fourth Proportional to 419.03, 624.36 and 400.40

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Solution

The fourth proportional to 419.03, 624.36 and 400.40 is: 596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.03 : 624.36 = 400.40 : x
  2. Step 2: Convert to fraction form
    419.03/624.36 = 400.40/x
  3. Step 3: Cross multiply
    419.03x = 624.36 × 400.40
  4. Step 4: Simplify right side
    419.03x = 249,993.74
  5. Step 5: Solve for x
    x = 249,993.74/419.03
  6. Step 6: Final answer
    x = 596.60

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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.