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Finding the Fourth Proportional to 526.47, 727.26 and 498.79

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Solution

The fourth proportional to 526.47, 727.26 and 498.79 is: 689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.47 : 727.26 = 498.79 : x
  2. Step 2: Convert to fraction form
    526.47/727.26 = 498.79/x
  3. Step 3: Cross multiply
    526.47x = 727.26 × 498.79
  4. Step 4: Simplify right side
    526.47x = 362,745.13
  5. Step 5: Solve for x
    x = 362,745.13/526.47
  6. Step 6: Final answer
    x = 689.02

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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.