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Finding the Fourth Proportional to 945.98, 1,306.08 and 697.58

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Solution

The fourth proportional to 945.98, 1,306.08 and 697.58 is: 963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.98 : 1,306.08 = 697.58 : x
  2. Step 2: Convert to fraction form
    945.98/1,306.08 = 697.58/x
  3. Step 3: Cross multiply
    945.98x = 1,306.08 × 697.58
  4. Step 4: Simplify right side
    945.98x = 911,088.76
  5. Step 5: Solve for x
    x = 911,088.76/945.98
  6. Step 6: Final answer
    x = 963.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.