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Finding the Fourth Proportional to 1,053.90, 1,582.61 and 709.45

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Solution

The fourth proportional to 1,053.90, 1,582.61 and 709.45 is: 1,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.90 : 1,582.61 = 709.45 : x
  2. Step 2: Convert to fraction form
    1,053.90/1,582.61 = 709.45/x
  3. Step 3: Cross multiply
    1,053.90x = 1,582.61 × 709.45
  4. Step 4: Simplify right side
    1,053.90x = 1,122,782.66
  5. Step 5: Solve for x
    x = 1,122,782.66/1,053.90
  6. Step 6: Final answer
    x = 1,065.36

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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.