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Finding the Fourth Proportional to 760.38, 1,137.90 and 564.98

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Solution

The fourth proportional to 760.38, 1,137.90 and 564.98 is: 845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.38 : 1,137.90 = 564.98 : x
  2. Step 2: Convert to fraction form
    760.38/1,137.90 = 564.98/x
  3. Step 3: Cross multiply
    760.38x = 1,137.90 × 564.98
  4. Step 4: Simplify right side
    760.38x = 642,890.74
  5. Step 5: Solve for x
    x = 642,890.74/760.38
  6. Step 6: Final answer
    x = 845.49

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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.