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Finding the Fourth Proportional to 1,019.26, 1,406.58 and 553.51

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Solution

The fourth proportional to 1,019.26, 1,406.58 and 553.51 is: 763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.26 : 1,406.58 = 553.51 : x
  2. Step 2: Convert to fraction form
    1,019.26/1,406.58 = 553.51/x
  3. Step 3: Cross multiply
    1,019.26x = 1,406.58 × 553.51
  4. Step 4: Simplify right side
    1,019.26x = 778,556.10
  5. Step 5: Solve for x
    x = 778,556.10/1,019.26
  6. Step 6: Final answer
    x = 763.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.