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Finding the Fourth Proportional to 1,780.71, 2,671.29 and 610.40

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Solution

The fourth proportional to 1,780.71, 2,671.29 and 610.40 is: 915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.71 : 2,671.29 = 610.40 : x
  2. Step 2: Convert to fraction form
    1,780.71/2,671.29 = 610.40/x
  3. Step 3: Cross multiply
    1,780.71x = 2,671.29 × 610.40
  4. Step 4: Simplify right side
    1,780.71x = 1,630,542.06
  5. Step 5: Solve for x
    x = 1,630,542.06/1,780.71
  6. Step 6: Final answer
    x = 915.67

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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.