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Finding the Fourth Proportional to 682,575, 1,023,065.28 and 513,552.30

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Solution

The fourth proportional to 682,575, 1,023,065.28 and 513,552.30 is: 769,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,575 : 1,023,065.28 = 513,552.30 : x
  2. Step 2: Convert to fraction form
    682,575/1,023,065.28 = 513,552.30/x
  3. Step 3: Cross multiply
    682,575x = 1,023,065.28 × 513,552.30
  4. Step 4: Simplify right side
    682,575x = 525,397,527,594.14
  5. Step 5: Solve for x
    x = 525,397,527,594.14/682,575
  6. Step 6: Final answer
    x = 769,728.64

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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.