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Finding the Fourth Proportional to 760.68, 1,051.38 and 694.80

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Solution

The fourth proportional to 760.68, 1,051.38 and 694.80 is: 960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.68 : 1,051.38 = 694.80 : x
  2. Step 2: Convert to fraction form
    760.68/1,051.38 = 694.80/x
  3. Step 3: Cross multiply
    760.68x = 1,051.38 × 694.80
  4. Step 4: Simplify right side
    760.68x = 730,498.82
  5. Step 5: Solve for x
    x = 730,498.82/760.68
  6. Step 6: Final answer
    x = 960.32

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Double scale
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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.