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Finding the Fourth Proportional to 525.47, 783.91 and 488.18

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Solution

The fourth proportional to 525.47, 783.91 and 488.18 is: 728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.47 : 783.91 = 488.18 : x
  2. Step 2: Convert to fraction form
    525.47/783.91 = 488.18/x
  3. Step 3: Cross multiply
    525.47x = 783.91 × 488.18
  4. Step 4: Simplify right side
    525.47x = 382,691.75
  5. Step 5: Solve for x
    x = 382,691.75/525.47
  6. Step 6: Final answer
    x = 728.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.