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Finding the Fourth Proportional to 760.86, 1,142.46 and 670.32

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Solution

The fourth proportional to 760.86, 1,142.46 and 670.32 is: 1,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.86 : 1,142.46 = 670.32 : x
  2. Step 2: Convert to fraction form
    760.86/1,142.46 = 670.32/x
  3. Step 3: Cross multiply
    760.86x = 1,142.46 × 670.32
  4. Step 4: Simplify right side
    760.86x = 765,813.79
  5. Step 5: Solve for x
    x = 765,813.79/760.86
  6. Step 6: Final answer
    x = 1,006.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.