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Finding the Fourth Proportional to 785.04, 1,172.22 and 702.24

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Solution

The fourth proportional to 785.04, 1,172.22 and 702.24 is: 1,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.04 : 1,172.22 = 702.24 : x
  2. Step 2: Convert to fraction form
    785.04/1,172.22 = 702.24/x
  3. Step 3: Cross multiply
    785.04x = 1,172.22 × 702.24
  4. Step 4: Simplify right side
    785.04x = 823,179.77
  5. Step 5: Solve for x
    x = 823,179.77/785.04
  6. Step 6: Final answer
    x = 1,048.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.