Home / 1,064.87-1,586.59-1,005.18

Finding the Fourth Proportional to 1,064.87, 1,586.59 and 1,005.18

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Solution

The fourth proportional to 1,064.87, 1,586.59 and 1,005.18 is: 1,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.87 : 1,586.59 = 1,005.18 : x
  2. Step 2: Convert to fraction form
    1,064.87/1,586.59 = 1,005.18/x
  3. Step 3: Cross multiply
    1,064.87x = 1,586.59 × 1,005.18
  4. Step 4: Simplify right side
    1,064.87x = 1,594,808.54
  5. Step 5: Solve for x
    x = 1,594,808.54/1,064.87
  6. Step 6: Final answer
    x = 1,497.66

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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.