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Finding the Fourth Proportional to 824.77, 1,237.36 and 478.02

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Solution

The fourth proportional to 824.77, 1,237.36 and 478.02 is: 717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.77 : 1,237.36 = 478.02 : x
  2. Step 2: Convert to fraction form
    824.77/1,237.36 = 478.02/x
  3. Step 3: Cross multiply
    824.77x = 1,237.36 × 478.02
  4. Step 4: Simplify right side
    824.77x = 591,482.83
  5. Step 5: Solve for x
    x = 591,482.83/824.77
  6. Step 6: Final answer
    x = 717.15

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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.