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Finding the Fourth Proportional to 971.34, 1,339.74 and 676.70

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Solution

The fourth proportional to 971.34, 1,339.74 and 676.70 is: 933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.34 : 1,339.74 = 676.70 : x
  2. Step 2: Convert to fraction form
    971.34/1,339.74 = 676.70/x
  3. Step 3: Cross multiply
    971.34x = 1,339.74 × 676.70
  4. Step 4: Simplify right side
    971.34x = 906,602.06
  5. Step 5: Solve for x
    x = 906,602.06/971.34
  6. Step 6: Final answer
    x = 933.35

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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.