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Finding the Fourth Proportional to 1,053.70, 1,443.58 and 1,014.29

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Solution

The fourth proportional to 1,053.70, 1,443.58 and 1,014.29 is: 1,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.70 : 1,443.58 = 1,014.29 : x
  2. Step 2: Convert to fraction form
    1,053.70/1,443.58 = 1,014.29/x
  3. Step 3: Cross multiply
    1,053.70x = 1,443.58 × 1,014.29
  4. Step 4: Simplify right side
    1,053.70x = 1,464,208.76
  5. Step 5: Solve for x
    x = 1,464,208.76/1,053.70
  6. Step 6: Final answer
    x = 1,389.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.