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Finding the Fourth Proportional to 971.91, 1,341.14 and 677.84

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Solution

The fourth proportional to 971.91, 1,341.14 and 677.84 is: 935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.91 : 1,341.14 = 677.84 : x
  2. Step 2: Convert to fraction form
    971.91/1,341.14 = 677.84/x
  3. Step 3: Cross multiply
    971.91x = 1,341.14 × 677.84
  4. Step 4: Simplify right side
    971.91x = 909,068.24
  5. Step 5: Solve for x
    x = 909,068.24/971.91
  6. Step 6: Final answer
    x = 935.34

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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.