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Finding the Fourth Proportional to 563.91, 776.90 and 480.75

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Solution

The fourth proportional to 563.91, 776.90 and 480.75 is: 662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.91 : 776.90 = 480.75 : x
  2. Step 2: Convert to fraction form
    563.91/776.90 = 480.75/x
  3. Step 3: Cross multiply
    563.91x = 776.90 × 480.75
  4. Step 4: Simplify right side
    563.91x = 373,492.27
  5. Step 5: Solve for x
    x = 373,492.27/563.91
  6. Step 6: Final answer
    x = 662.33

Related Problems

Find fourth proportional to 281.96, 388.45 and 240.38
Half scale
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Double scale
Find fourth proportional to 564.91, 778.27 and 481.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.