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Finding the Fourth Proportional to 477.58, 719.22 and 420.42

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Solution

The fourth proportional to 477.58, 719.22 and 420.42 is: 633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.58 : 719.22 = 420.42 : x
  2. Step 2: Convert to fraction form
    477.58/719.22 = 420.42/x
  3. Step 3: Cross multiply
    477.58x = 719.22 × 420.42
  4. Step 4: Simplify right side
    477.58x = 302,368.77
  5. Step 5: Solve for x
    x = 302,368.77/477.58
  6. Step 6: Final answer
    x = 633.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.