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Finding the Fourth Proportional to 653.12, 983.20 and 563.80

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Solution

The fourth proportional to 653.12, 983.20 and 563.80 is: 848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.12 : 983.20 = 563.80 : x
  2. Step 2: Convert to fraction form
    653.12/983.20 = 563.80/x
  3. Step 3: Cross multiply
    653.12x = 983.20 × 563.80
  4. Step 4: Simplify right side
    653.12x = 554,328.16
  5. Step 5: Solve for x
    x = 554,328.16/653.12
  6. Step 6: Final answer
    x = 848.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.