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Finding the Fourth Proportional to 1,319.56, 1,977.64 and 626.08

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Solution

The fourth proportional to 1,319.56, 1,977.64 and 626.08 is: 938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.56 : 1,977.64 = 626.08 : x
  2. Step 2: Convert to fraction form
    1,319.56/1,977.64 = 626.08/x
  3. Step 3: Cross multiply
    1,319.56x = 1,977.64 × 626.08
  4. Step 4: Simplify right side
    1,319.56x = 1,238,160.85
  5. Step 5: Solve for x
    x = 1,238,160.85/1,319.56
  6. Step 6: Final answer
    x = 938.31

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1.5x scale

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.