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Finding the Fourth Proportional to 786.40, 1,176.96 and 566.40

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Solution

The fourth proportional to 786.40, 1,176.96 and 566.40 is: 847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.40 : 1,176.96 = 566.40 : x
  2. Step 2: Convert to fraction form
    786.40/1,176.96 = 566.40/x
  3. Step 3: Cross multiply
    786.40x = 1,176.96 × 566.40
  4. Step 4: Simplify right side
    786.40x = 666,630.14
  5. Step 5: Solve for x
    x = 666,630.14/786.40
  6. Step 6: Final answer
    x = 847.70

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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.