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Finding the Fourth Proportional to 760.04, 1,138.38 and 578.60

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Solution

The fourth proportional to 760.04, 1,138.38 and 578.60 is: 866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.04 : 1,138.38 = 578.60 : x
  2. Step 2: Convert to fraction form
    760.04/1,138.38 = 578.60/x
  3. Step 3: Cross multiply
    760.04x = 1,138.38 × 578.60
  4. Step 4: Simplify right side
    760.04x = 658,666.67
  5. Step 5: Solve for x
    x = 658,666.67/760.04
  6. Step 6: Final answer
    x = 866.62

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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.