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Finding the Fourth Proportional to 744.77, 1,117.55 and 437.23

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Solution

The fourth proportional to 744.77, 1,117.55 and 437.23 is: 656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.77 : 1,117.55 = 437.23 : x
  2. Step 2: Convert to fraction form
    744.77/1,117.55 = 437.23/x
  3. Step 3: Cross multiply
    744.77x = 1,117.55 × 437.23
  4. Step 4: Simplify right side
    744.77x = 488,626.39
  5. Step 5: Solve for x
    x = 488,626.39/744.77
  6. Step 6: Final answer
    x = 656.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.