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Finding the Fourth Proportional to 1,019.69, 1,406.65 and 705.28

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Solution

The fourth proportional to 1,019.69, 1,406.65 and 705.28 is: 972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.69 : 1,406.65 = 705.28 : x
  2. Step 2: Convert to fraction form
    1,019.69/1,406.65 = 705.28/x
  3. Step 3: Cross multiply
    1,019.69x = 1,406.65 × 705.28
  4. Step 4: Simplify right side
    1,019.69x = 992,071.55
  5. Step 5: Solve for x
    x = 992,071.55/1,019.69
  6. Step 6: Final answer
    x = 972.91

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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.