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Finding the Fourth Proportional to 652.68, 899.64 and 455.76

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Solution

The fourth proportional to 652.68, 899.64 and 455.76 is: 628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 899.64 = 455.76 : x
  2. Step 2: Convert to fraction form
    652.68/899.64 = 455.76/x
  3. Step 3: Cross multiply
    652.68x = 899.64 × 455.76
  4. Step 4: Simplify right side
    652.68x = 410,019.93
  5. Step 5: Solve for x
    x = 410,019.93/652.68
  6. Step 6: Final answer
    x = 628.21

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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.