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Finding the Fourth Proportional to 697.61, 1,040.72 and 642.93

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Solution

The fourth proportional to 697.61, 1,040.72 and 642.93 is: 959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.61 : 1,040.72 = 642.93 : x
  2. Step 2: Convert to fraction form
    697.61/1,040.72 = 642.93/x
  3. Step 3: Cross multiply
    697.61x = 1,040.72 × 642.93
  4. Step 4: Simplify right side
    697.61x = 669,106.89
  5. Step 5: Solve for x
    x = 669,106.89/697.61
  6. Step 6: Final answer
    x = 959.15

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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.