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Finding the Fourth Proportional to 921.23, 1,271.30 and 507.23

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Solution

The fourth proportional to 921.23, 1,271.30 and 507.23 is: 699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.23 : 1,271.30 = 507.23 : x
  2. Step 2: Convert to fraction form
    921.23/1,271.30 = 507.23/x
  3. Step 3: Cross multiply
    921.23x = 1,271.30 × 507.23
  4. Step 4: Simplify right side
    921.23x = 644,848.80
  5. Step 5: Solve for x
    x = 644,848.80/921.23
  6. Step 6: Final answer
    x = 699.98

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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.