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Finding the Fourth Proportional to 684.02, 1,024.80 and 478.18

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Solution

The fourth proportional to 684.02, 1,024.80 and 478.18 is: 716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.02 : 1,024.80 = 478.18 : x
  2. Step 2: Convert to fraction form
    684.02/1,024.80 = 478.18/x
  3. Step 3: Cross multiply
    684.02x = 1,024.80 × 478.18
  4. Step 4: Simplify right side
    684.02x = 490,038.86
  5. Step 5: Solve for x
    x = 490,038.86/684.02
  6. Step 6: Final answer
    x = 716.41

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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.