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Finding the Fourth Proportional to 652.68, 899.62 and 455.88

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Solution

The fourth proportional to 652.68, 899.62 and 455.88 is: 628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 899.62 = 455.88 : x
  2. Step 2: Convert to fraction form
    652.68/899.62 = 455.88/x
  3. Step 3: Cross multiply
    652.68x = 899.62 × 455.88
  4. Step 4: Simplify right side
    652.68x = 410,118.77
  5. Step 5: Solve for x
    x = 410,118.77/652.68
  6. Step 6: Final answer
    x = 628.36

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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.