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Finding the Fourth Proportional to 1,046.13, 1,444.41 and 785.58

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Solution

The fourth proportional to 1,046.13, 1,444.41 and 785.58 is: 1,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.13 : 1,444.41 = 785.58 : x
  2. Step 2: Convert to fraction form
    1,046.13/1,444.41 = 785.58/x
  3. Step 3: Cross multiply
    1,046.13x = 1,444.41 × 785.58
  4. Step 4: Simplify right side
    1,046.13x = 1,134,699.61
  5. Step 5: Solve for x
    x = 1,134,699.61/1,046.13
  6. Step 6: Final answer
    x = 1,084.66

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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.