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Finding the Fourth Proportional to 921.61, 1,271.19 and 589.47

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Solution

The fourth proportional to 921.61, 1,271.19 and 589.47 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.61 : 1,271.19 = 589.47 : x
  2. Step 2: Convert to fraction form
    921.61/1,271.19 = 589.47/x
  3. Step 3: Cross multiply
    921.61x = 1,271.19 × 589.47
  4. Step 4: Simplify right side
    921.61x = 749,328.37
  5. Step 5: Solve for x
    x = 749,328.37/921.61
  6. Step 6: Final answer
    x = 813.06

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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.