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Finding the Fourth Proportional to 785.47, 1,085.36 and 564.04

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Solution

The fourth proportional to 785.47, 1,085.36 and 564.04 is: 779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.47 : 1,085.36 = 564.04 : x
  2. Step 2: Convert to fraction form
    785.47/1,085.36 = 564.04/x
  3. Step 3: Cross multiply
    785.47x = 1,085.36 × 564.04
  4. Step 4: Simplify right side
    785.47x = 612,180.92
  5. Step 5: Solve for x
    x = 612,180.92/785.47
  6. Step 6: Final answer
    x = 779.38

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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.