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Finding the Fourth Proportional to 744.82, 1,026.65 and 505.47

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Solution

The fourth proportional to 744.82, 1,026.65 and 505.47 is: 696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.82 : 1,026.65 = 505.47 : x
  2. Step 2: Convert to fraction form
    744.82/1,026.65 = 505.47/x
  3. Step 3: Cross multiply
    744.82x = 1,026.65 × 505.47
  4. Step 4: Simplify right side
    744.82x = 518,934.38
  5. Step 5: Solve for x
    x = 518,934.38/744.82
  6. Step 6: Final answer
    x = 696.73

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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.