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Finding the Fourth Proportional to 962.70, 1,328.66 and 698.00

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Solution

The fourth proportional to 962.70, 1,328.66 and 698.00 is: 963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.70 : 1,328.66 = 698.00 : x
  2. Step 2: Convert to fraction form
    962.70/1,328.66 = 698.00/x
  3. Step 3: Cross multiply
    962.70x = 1,328.66 × 698.00
  4. Step 4: Simplify right side
    962.70x = 927,394.55
  5. Step 5: Solve for x
    x = 927,394.55/962.70
  6. Step 6: Final answer
    x = 963.33

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1.5x scale

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.