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Finding the Fourth Proportional to 697.54, 1,041.65 and 657.04

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Solution

The fourth proportional to 697.54, 1,041.65 and 657.04 is: 981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.54 : 1,041.65 = 657.04 : x
  2. Step 2: Convert to fraction form
    697.54/1,041.65 = 657.04/x
  3. Step 3: Cross multiply
    697.54x = 1,041.65 × 657.04
  4. Step 4: Simplify right side
    697.54x = 684,405.72
  5. Step 5: Solve for x
    x = 684,405.72/697.54
  6. Step 6: Final answer
    x = 981.17

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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.