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Finding the Fourth Proportional to 970.93, 1,340.17 and 676.29

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Solution

The fourth proportional to 970.93, 1,340.17 and 676.29 is: 933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.93 : 1,340.17 = 676.29 : x
  2. Step 2: Convert to fraction form
    970.93/1,340.17 = 676.29/x
  3. Step 3: Cross multiply
    970.93x = 1,340.17 × 676.29
  4. Step 4: Simplify right side
    970.93x = 906,341.88
  5. Step 5: Solve for x
    x = 906,341.88/970.93
  6. Step 6: Final answer
    x = 933.48

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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.