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Finding the Fourth Proportional to 860.45, 1,185.03 and 702.35

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Solution

The fourth proportional to 860.45, 1,185.03 and 702.35 is: 967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.45 : 1,185.03 = 702.35 : x
  2. Step 2: Convert to fraction form
    860.45/1,185.03 = 702.35/x
  3. Step 3: Cross multiply
    860.45x = 1,185.03 × 702.35
  4. Step 4: Simplify right side
    860.45x = 832,305.82
  5. Step 5: Solve for x
    x = 832,305.82/860.45
  6. Step 6: Final answer
    x = 967.29

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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.