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Finding the Fourth Proportional to 1,019.22, 1,407.07 and 688.23

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Solution

The fourth proportional to 1,019.22, 1,407.07 and 688.23 is: 950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.22 : 1,407.07 = 688.23 : x
  2. Step 2: Convert to fraction form
    1,019.22/1,407.07 = 688.23/x
  3. Step 3: Cross multiply
    1,019.22x = 1,407.07 × 688.23
  4. Step 4: Simplify right side
    1,019.22x = 968,388.65
  5. Step 5: Solve for x
    x = 968,388.65/1,019.22
  6. Step 6: Final answer
    x = 950.13

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1.5x scale

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.