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Finding the Fourth Proportional to 457.04, 630.74 and 277.59

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Solution

The fourth proportional to 457.04, 630.74 and 277.59 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.04 : 630.74 = 277.59 : x
  2. Step 2: Convert to fraction form
    457.04/630.74 = 277.59/x
  3. Step 3: Cross multiply
    457.04x = 630.74 × 277.59
  4. Step 4: Simplify right side
    457.04x = 175,085.73
  5. Step 5: Solve for x
    x = 175,085.73/457.04
  6. Step 6: Final answer
    x = 383.08

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Why These Related Problems?

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