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Finding the Fourth Proportional to 1,064.16, 1,596.36 and 448.01

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Solution

The fourth proportional to 1,064.16, 1,596.36 and 448.01 is: 672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.16 : 1,596.36 = 448.01 : x
  2. Step 2: Convert to fraction form
    1,064.16/1,596.36 = 448.01/x
  3. Step 3: Cross multiply
    1,064.16x = 1,596.36 × 448.01
  4. Step 4: Simplify right side
    1,064.16x = 715,177.92
  5. Step 5: Solve for x
    x = 715,177.92/1,064.16
  6. Step 6: Final answer
    x = 672.06

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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.