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Finding the Fourth Proportional to 786.76, 1,178.94 and 705.16

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Solution

The fourth proportional to 786.76, 1,178.94 and 705.16 is: 1,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.76 : 1,178.94 = 705.16 : x
  2. Step 2: Convert to fraction form
    786.76/1,178.94 = 705.16/x
  3. Step 3: Cross multiply
    786.76x = 1,178.94 × 705.16
  4. Step 4: Simplify right side
    786.76x = 831,341.33
  5. Step 5: Solve for x
    x = 831,341.33/786.76
  6. Step 6: Final answer
    x = 1,056.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.