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Finding the Fourth Proportional to 1,070.44, 1,476.57 and 738.85

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Solution

The fourth proportional to 1,070.44, 1,476.57 and 738.85 is: 1,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.44 : 1,476.57 = 738.85 : x
  2. Step 2: Convert to fraction form
    1,070.44/1,476.57 = 738.85/x
  3. Step 3: Cross multiply
    1,070.44x = 1,476.57 × 738.85
  4. Step 4: Simplify right side
    1,070.44x = 1,090,963.74
  5. Step 5: Solve for x
    x = 1,090,963.74/1,070.44
  6. Step 6: Final answer
    x = 1,019.17

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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.