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Finding the Fourth Proportional to 1,417.72, 2,126.74 and 377.76

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Solution

The fourth proportional to 1,417.72, 2,126.74 and 377.76 is: 566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.72 : 2,126.74 = 377.76 : x
  2. Step 2: Convert to fraction form
    1,417.72/2,126.74 = 377.76/x
  3. Step 3: Cross multiply
    1,417.72x = 2,126.74 × 377.76
  4. Step 4: Simplify right side
    1,417.72x = 803,397.30
  5. Step 5: Solve for x
    x = 803,397.30/1,417.72
  6. Step 6: Final answer
    x = 566.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.