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Finding the Fourth Proportional to 771.51, 1,157.88 and 284.58

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Solution

The fourth proportional to 771.51, 1,157.88 and 284.58 is: 427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.51 : 1,157.88 = 284.58 : x
  2. Step 2: Convert to fraction form
    771.51/1,157.88 = 284.58/x
  3. Step 3: Cross multiply
    771.51x = 1,157.88 × 284.58
  4. Step 4: Simplify right side
    771.51x = 329,509.49
  5. Step 5: Solve for x
    x = 329,509.49/771.51
  6. Step 6: Final answer
    x = 427.10

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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.