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Finding the Fourth Proportional to 760.76, 1,051.62 and 678.68

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Solution

The fourth proportional to 760.76, 1,051.62 and 678.68 is: 938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.76 : 1,051.62 = 678.68 : x
  2. Step 2: Convert to fraction form
    760.76/1,051.62 = 678.68/x
  3. Step 3: Cross multiply
    760.76x = 1,051.62 × 678.68
  4. Step 4: Simplify right side
    760.76x = 713,713.46
  5. Step 5: Solve for x
    x = 713,713.46/760.76
  6. Step 6: Final answer
    x = 938.16

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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.