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Finding the Fourth Proportional to 1,064.25, 1,594.98 and 479.22

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Solution

The fourth proportional to 1,064.25, 1,594.98 and 479.22 is: 718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.25 : 1,594.98 = 479.22 : x
  2. Step 2: Convert to fraction form
    1,064.25/1,594.98 = 479.22/x
  3. Step 3: Cross multiply
    1,064.25x = 1,594.98 × 479.22
  4. Step 4: Simplify right side
    1,064.25x = 764,346.32
  5. Step 5: Solve for x
    x = 764,346.32/1,064.25
  6. Step 6: Final answer
    x = 718.20

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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.