Home / 1,054.30-1,569.12-1,005.70

Finding the Fourth Proportional to 1,054.30, 1,569.12 and 1,005.70

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Solution

The fourth proportional to 1,054.30, 1,569.12 and 1,005.70 is: 1,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.30 : 1,569.12 = 1,005.70 : x
  2. Step 2: Convert to fraction form
    1,054.30/1,569.12 = 1,005.70/x
  3. Step 3: Cross multiply
    1,054.30x = 1,569.12 × 1,005.70
  4. Step 4: Simplify right side
    1,054.30x = 1,578,063.98
  5. Step 5: Solve for x
    x = 1,578,063.98/1,054.30
  6. Step 6: Final answer
    x = 1,496.79

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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.