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Finding the Fourth Proportional to 874.89, 1,309.59 and 463.50

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Solution

The fourth proportional to 874.89, 1,309.59 and 463.50 is: 693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.89 : 1,309.59 = 463.50 : x
  2. Step 2: Convert to fraction form
    874.89/1,309.59 = 463.50/x
  3. Step 3: Cross multiply
    874.89x = 1,309.59 × 463.50
  4. Step 4: Simplify right side
    874.89x = 606,994.97
  5. Step 5: Solve for x
    x = 606,994.97/874.89
  6. Step 6: Final answer
    x = 693.80

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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.