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Finding the Fourth Proportional to 595.68, 822.05 and 448.05

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Solution

The fourth proportional to 595.68, 822.05 and 448.05 is: 618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 822.05 = 448.05 : x
  2. Step 2: Convert to fraction form
    595.68/822.05 = 448.05/x
  3. Step 3: Cross multiply
    595.68x = 822.05 × 448.05
  4. Step 4: Simplify right side
    595.68x = 368,319.50
  5. Step 5: Solve for x
    x = 368,319.50/595.68
  6. Step 6: Final answer
    x = 618.32

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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.