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Finding the Fourth Proportional to 651.83, 972.85 and 563.59

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Solution

The fourth proportional to 651.83, 972.85 and 563.59 is: 841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.83 : 972.85 = 563.59 : x
  2. Step 2: Convert to fraction form
    651.83/972.85 = 563.59/x
  3. Step 3: Cross multiply
    651.83x = 972.85 × 563.59
  4. Step 4: Simplify right side
    651.83x = 548,283.28
  5. Step 5: Solve for x
    x = 548,283.28/651.83
  6. Step 6: Final answer
    x = 841.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.