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Finding the Fourth Proportional to 1,580.76, 2,370.82 and 606.63

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Solution

The fourth proportional to 1,580.76, 2,370.82 and 606.63 is: 909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.76 : 2,370.82 = 606.63 : x
  2. Step 2: Convert to fraction form
    1,580.76/2,370.82 = 606.63/x
  3. Step 3: Cross multiply
    1,580.76x = 2,370.82 × 606.63
  4. Step 4: Simplify right side
    1,580.76x = 1,438,210.54
  5. Step 5: Solve for x
    x = 1,438,210.54/1,580.76
  6. Step 6: Final answer
    x = 909.82

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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.