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Finding the Fourth Proportional to 695.40, 1,041.90 and 652.20

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Solution

The fourth proportional to 695.40, 1,041.90 and 652.20 is: 977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.40 : 1,041.90 = 652.20 : x
  2. Step 2: Convert to fraction form
    695.40/1,041.90 = 652.20/x
  3. Step 3: Cross multiply
    695.40x = 1,041.90 × 652.20
  4. Step 4: Simplify right side
    695.40x = 679,527.18
  5. Step 5: Solve for x
    x = 679,527.18/695.40
  6. Step 6: Final answer
    x = 977.17

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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.