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Finding the Fourth Proportional to 474.57, 654.76 and 278.08

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Solution

The fourth proportional to 474.57, 654.76 and 278.08 is: 383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.57 : 654.76 = 278.08 : x
  2. Step 2: Convert to fraction form
    474.57/654.76 = 278.08/x
  3. Step 3: Cross multiply
    474.57x = 654.76 × 278.08
  4. Step 4: Simplify right side
    474.57x = 182,075.66
  5. Step 5: Solve for x
    x = 182,075.66/474.57
  6. Step 6: Final answer
    x = 383.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.