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Finding the Fourth Proportional to 860.25, 1,186.86 and 528.51

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Solution

The fourth proportional to 860.25, 1,186.86 and 528.51 is: 729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.25 : 1,186.86 = 528.51 : x
  2. Step 2: Convert to fraction form
    860.25/1,186.86 = 528.51/x
  3. Step 3: Cross multiply
    860.25x = 1,186.86 × 528.51
  4. Step 4: Simplify right side
    860.25x = 627,267.38
  5. Step 5: Solve for x
    x = 627,267.38/860.25
  6. Step 6: Final answer
    x = 729.17

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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.