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Finding the Fourth Proportional to 771.02, 1,156.35 and 223.07

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Solution

The fourth proportional to 771.02, 1,156.35 and 223.07 is: 334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.02 : 1,156.35 = 223.07 : x
  2. Step 2: Convert to fraction form
    771.02/1,156.35 = 223.07/x
  3. Step 3: Cross multiply
    771.02x = 1,156.35 × 223.07
  4. Step 4: Simplify right side
    771.02x = 257,946.99
  5. Step 5: Solve for x
    x = 257,946.99/771.02
  6. Step 6: Final answer
    x = 334.55

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.