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Finding the Fourth Proportional to 526.16, 789.24 and 484.40

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Solution

The fourth proportional to 526.16, 789.24 and 484.40 is: 726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.16 : 789.24 = 484.40 : x
  2. Step 2: Convert to fraction form
    526.16/789.24 = 484.40/x
  3. Step 3: Cross multiply
    526.16x = 789.24 × 484.40
  4. Step 4: Simplify right side
    526.16x = 382,307.86
  5. Step 5: Solve for x
    x = 382,307.86/526.16
  6. Step 6: Final answer
    x = 726.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.