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Finding the Fourth Proportional to 921.39, 1,271.34 and 589.56

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Solution

The fourth proportional to 921.39, 1,271.34 and 589.56 is: 813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.39 : 1,271.34 = 589.56 : x
  2. Step 2: Convert to fraction form
    921.39/1,271.34 = 589.56/x
  3. Step 3: Cross multiply
    921.39x = 1,271.34 × 589.56
  4. Step 4: Simplify right side
    921.39x = 749,531.21
  5. Step 5: Solve for x
    x = 749,531.21/921.39
  6. Step 6: Final answer
    x = 813.48

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Half scale
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Double scale
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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.