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Finding the Fourth Proportional to 695.42, 1,035.65 and 653.50

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Solution

The fourth proportional to 695.42, 1,035.65 and 653.50 is: 973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.42 : 1,035.65 = 653.50 : x
  2. Step 2: Convert to fraction form
    695.42/1,035.65 = 653.50/x
  3. Step 3: Cross multiply
    695.42x = 1,035.65 × 653.50
  4. Step 4: Simplify right side
    695.42x = 676,797.28
  5. Step 5: Solve for x
    x = 676,797.28/695.42
  6. Step 6: Final answer
    x = 973.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.