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Finding the Fourth Proportional to 2,880.74, 4,319.57 and 906.00

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Solution

The fourth proportional to 2,880.74, 4,319.57 and 906.00 is: 1,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.74 : 4,319.57 = 906.00 : x
  2. Step 2: Convert to fraction form
    2,880.74/4,319.57 = 906.00/x
  3. Step 3: Cross multiply
    2,880.74x = 4,319.57 × 906.00
  4. Step 4: Simplify right side
    2,880.74x = 3,913,538.24
  5. Step 5: Solve for x
    x = 3,913,538.24/2,880.74
  6. Step 6: Final answer
    x = 1,358.52

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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.