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Finding the Fourth Proportional to 1,314.90, 1,964.52 and 900.54

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Solution

The fourth proportional to 1,314.90, 1,964.52 and 900.54 is: 1,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.90 : 1,964.52 = 900.54 : x
  2. Step 2: Convert to fraction form
    1,314.90/1,964.52 = 900.54/x
  3. Step 3: Cross multiply
    1,314.90x = 1,964.52 × 900.54
  4. Step 4: Simplify right side
    1,314.90x = 1,769,128.84
  5. Step 5: Solve for x
    x = 1,769,128.84/1,314.90
  6. Step 6: Final answer
    x = 1,345.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.