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Finding the Fourth Proportional to 497.04, 741.32 and 420.54

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Solution

The fourth proportional to 497.04, 741.32 and 420.54 is: 627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 741.32 = 420.54 : x
  2. Step 2: Convert to fraction form
    497.04/741.32 = 420.54/x
  3. Step 3: Cross multiply
    497.04x = 741.32 × 420.54
  4. Step 4: Simplify right side
    497.04x = 311,752.61
  5. Step 5: Solve for x
    x = 311,752.61/497.04
  6. Step 6: Final answer
    x = 627.22

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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.