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Finding the Fourth Proportional to 1,026.49, 1,423.07 and 971.08

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Solution

The fourth proportional to 1,026.49, 1,423.07 and 971.08 is: 1,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.49 : 1,423.07 = 971.08 : x
  2. Step 2: Convert to fraction form
    1,026.49/1,423.07 = 971.08/x
  3. Step 3: Cross multiply
    1,026.49x = 1,423.07 × 971.08
  4. Step 4: Simplify right side
    1,026.49x = 1,381,914.82
  5. Step 5: Solve for x
    x = 1,381,914.82/1,026.49
  6. Step 6: Final answer
    x = 1,346.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.