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Finding the Fourth Proportional to 921.68, 1,271.92 and 507.68

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Solution

The fourth proportional to 921.68, 1,271.92 and 507.68 is: 700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.68 : 1,271.92 = 507.68 : x
  2. Step 2: Convert to fraction form
    921.68/1,271.92 = 507.68/x
  3. Step 3: Cross multiply
    921.68x = 1,271.92 × 507.68
  4. Step 4: Simplify right side
    921.68x = 645,728.35
  5. Step 5: Solve for x
    x = 645,728.35/921.68
  6. Step 6: Final answer
    x = 700.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.