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Finding the Fourth Proportional to 712.64, 1,066.80 and 652.88

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Solution

The fourth proportional to 712.64, 1,066.80 and 652.88 is: 977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.64 : 1,066.80 = 652.88 : x
  2. Step 2: Convert to fraction form
    712.64/1,066.80 = 652.88/x
  3. Step 3: Cross multiply
    712.64x = 1,066.80 × 652.88
  4. Step 4: Simplify right side
    712.64x = 696,492.38
  5. Step 5: Solve for x
    x = 696,492.38/712.64
  6. Step 6: Final answer
    x = 977.34

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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.