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Finding the Fourth Proportional to 526.77, 726.84 and 448.38

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Solution

The fourth proportional to 526.77, 726.84 and 448.38 is: 618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.77 : 726.84 = 448.38 : x
  2. Step 2: Convert to fraction form
    526.77/726.84 = 448.38/x
  3. Step 3: Cross multiply
    526.77x = 726.84 × 448.38
  4. Step 4: Simplify right side
    526.77x = 325,900.52
  5. Step 5: Solve for x
    x = 325,900.52/526.77
  6. Step 6: Final answer
    x = 618.68

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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.