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Finding the Fourth Proportional to 525.93, 726.53 and 498.26

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Solution

The fourth proportional to 525.93, 726.53 and 498.26 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.93 : 726.53 = 498.26 : x
  2. Step 2: Convert to fraction form
    525.93/726.53 = 498.26/x
  3. Step 3: Cross multiply
    525.93x = 726.53 × 498.26
  4. Step 4: Simplify right side
    525.93x = 361,994.71
  5. Step 5: Solve for x
    x = 361,994.71/525.93
  6. Step 6: Final answer
    x = 688.29

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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.