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Finding the Fourth Proportional to 860.32, 1,186.64 and 583.84

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Solution

The fourth proportional to 860.32, 1,186.64 and 583.84 is: 805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.32 : 1,186.64 = 583.84 : x
  2. Step 2: Convert to fraction form
    860.32/1,186.64 = 583.84/x
  3. Step 3: Cross multiply
    860.32x = 1,186.64 × 583.84
  4. Step 4: Simplify right side
    860.32x = 692,807.90
  5. Step 5: Solve for x
    x = 692,807.90/860.32
  6. Step 6: Final answer
    x = 805.29

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Double scale
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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.