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Finding the Fourth Proportional to 654.78, 977.60 and 563.10

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Solution

The fourth proportional to 654.78, 977.60 and 563.10 is: 840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.78 : 977.60 = 563.10 : x
  2. Step 2: Convert to fraction form
    654.78/977.60 = 563.10/x
  3. Step 3: Cross multiply
    654.78x = 977.60 × 563.10
  4. Step 4: Simplify right side
    654.78x = 550,483.74
  5. Step 5: Solve for x
    x = 550,483.74/654.78
  6. Step 6: Final answer
    x = 840.72

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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.