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Finding the Fourth Proportional to 1,046.75, 1,444.62 and 581.09

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Solution

The fourth proportional to 1,046.75, 1,444.62 and 581.09 is: 801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.75 : 1,444.62 = 581.09 : x
  2. Step 2: Convert to fraction form
    1,046.75/1,444.62 = 581.09/x
  3. Step 3: Cross multiply
    1,046.75x = 1,444.62 × 581.09
  4. Step 4: Simplify right side
    1,046.75x = 839,454.24
  5. Step 5: Solve for x
    x = 839,454.24/1,046.75
  6. Step 6: Final answer
    x = 801.96

Related Problems

Find fourth proportional to 523.38, 722.31 and 290.55
Half scale
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Double scale
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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.