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Finding the Fourth Proportional to 1,019.45, 1,406.70 and 645.77

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Solution

The fourth proportional to 1,019.45, 1,406.70 and 645.77 is: 891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.45 : 1,406.70 = 645.77 : x
  2. Step 2: Convert to fraction form
    1,019.45/1,406.70 = 645.77/x
  3. Step 3: Cross multiply
    1,019.45x = 1,406.70 × 645.77
  4. Step 4: Simplify right side
    1,019.45x = 908,397.63
  5. Step 5: Solve for x
    x = 908,397.63/1,019.45
  6. Step 6: Final answer
    x = 891.07

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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.