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Finding the Fourth Proportional to 563.48, 840.95 and 548.90

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Solution

The fourth proportional to 563.48, 840.95 and 548.90 is: 819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.48 : 840.95 = 548.90 : x
  2. Step 2: Convert to fraction form
    563.48/840.95 = 548.90/x
  3. Step 3: Cross multiply
    563.48x = 840.95 × 548.90
  4. Step 4: Simplify right side
    563.48x = 461,594.71
  5. Step 5: Solve for x
    x = 461,594.71/563.48
  6. Step 6: Final answer
    x = 819.19

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1.5x scale

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.