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Finding the Fourth Proportional to 526.68, 723.15 and 448.92

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Solution

The fourth proportional to 526.68, 723.15 and 448.92 is: 616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 723.15 = 448.92 : x
  2. Step 2: Convert to fraction form
    526.68/723.15 = 448.92/x
  3. Step 3: Cross multiply
    526.68x = 723.15 × 448.92
  4. Step 4: Simplify right side
    526.68x = 324,636.50
  5. Step 5: Solve for x
    x = 324,636.50/526.68
  6. Step 6: Final answer
    x = 616.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.