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Finding the Fourth Proportional to 1,070.37, 1,476.77 and 671.85

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Solution

The fourth proportional to 1,070.37, 1,476.77 and 671.85 is: 926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.37 : 1,476.77 = 671.85 : x
  2. Step 2: Convert to fraction form
    1,070.37/1,476.77 = 671.85/x
  3. Step 3: Cross multiply
    1,070.37x = 1,476.77 × 671.85
  4. Step 4: Simplify right side
    1,070.37x = 992,164.57
  5. Step 5: Solve for x
    x = 992,164.57/1,070.37
  6. Step 6: Final answer
    x = 926.94

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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.