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Finding the Fourth Proportional to 1,552.77, 2,329.16 and 1,064.34

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Solution

The fourth proportional to 1,552.77, 2,329.16 and 1,064.34 is: 1,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.77 : 2,329.16 = 1,064.34 : x
  2. Step 2: Convert to fraction form
    1,552.77/2,329.16 = 1,064.34/x
  3. Step 3: Cross multiply
    1,552.77x = 2,329.16 × 1,064.34
  4. Step 4: Simplify right side
    1,552.77x = 2,479,012.83
  5. Step 5: Solve for x
    x = 2,479,012.83/1,552.77
  6. Step 6: Final answer
    x = 1,596.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.