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Finding the Fourth Proportional to 698.32, 970.01 and 687.16

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Solution

The fourth proportional to 698.32, 970.01 and 687.16 is: 954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 970.01 = 687.16 : x
  2. Step 2: Convert to fraction form
    698.32/970.01 = 687.16/x
  3. Step 3: Cross multiply
    698.32x = 970.01 × 687.16
  4. Step 4: Simplify right side
    698.32x = 666,550.01
  5. Step 5: Solve for x
    x = 666,550.01/698.32
  6. Step 6: Final answer
    x = 954.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.