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Finding the Fourth Proportional to 712.60, 1,068.90 and 652.60

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Solution

The fourth proportional to 712.60, 1,068.90 and 652.60 is: 978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 1,068.90 = 652.60 : x
  2. Step 2: Convert to fraction form
    712.60/1,068.90 = 652.60/x
  3. Step 3: Cross multiply
    712.60x = 1,068.90 × 652.60
  4. Step 4: Simplify right side
    712.60x = 697,564.14
  5. Step 5: Solve for x
    x = 697,564.14/712.60
  6. Step 6: Final answer
    x = 978.90

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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.