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Finding the Fourth Proportional to 744.67, 1,109.13 and 705.64

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Solution

The fourth proportional to 744.67, 1,109.13 and 705.64 is: 1,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.67 : 1,109.13 = 705.64 : x
  2. Step 2: Convert to fraction form
    744.67/1,109.13 = 705.64/x
  3. Step 3: Cross multiply
    744.67x = 1,109.13 × 705.64
  4. Step 4: Simplify right side
    744.67x = 782,646.49
  5. Step 5: Solve for x
    x = 782,646.49/744.67
  6. Step 6: Final answer
    x = 1,051.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.