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Finding the Fourth Proportional to 760.32, 1,135.78 and 644.22

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Solution

The fourth proportional to 760.32, 1,135.78 and 644.22 is: 962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.32 : 1,135.78 = 644.22 : x
  2. Step 2: Convert to fraction form
    760.32/1,135.78 = 644.22/x
  3. Step 3: Cross multiply
    760.32x = 1,135.78 × 644.22
  4. Step 4: Simplify right side
    760.32x = 731,692.19
  5. Step 5: Solve for x
    x = 731,692.19/760.32
  6. Step 6: Final answer
    x = 962.35

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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.