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Finding the Fourth Proportional to 712.19, 1,066.86 and 566.19

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Solution

The fourth proportional to 712.19, 1,066.86 and 566.19 is: 848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.19 : 1,066.86 = 566.19 : x
  2. Step 2: Convert to fraction form
    712.19/1,066.86 = 566.19/x
  3. Step 3: Cross multiply
    712.19x = 1,066.86 × 566.19
  4. Step 4: Simplify right side
    712.19x = 604,045.46
  5. Step 5: Solve for x
    x = 604,045.46/712.19
  6. Step 6: Final answer
    x = 848.16

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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.