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Finding the Fourth Proportional to 526.80, 789.21 and 457.54

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Solution

The fourth proportional to 526.80, 789.21 and 457.54 is: 685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.80 : 789.21 = 457.54 : x
  2. Step 2: Convert to fraction form
    526.80/789.21 = 457.54/x
  3. Step 3: Cross multiply
    526.80x = 789.21 × 457.54
  4. Step 4: Simplify right side
    526.80x = 361,095.14
  5. Step 5: Solve for x
    x = 361,095.14/526.80
  6. Step 6: Final answer
    x = 685.45

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1.5x scale

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.