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Finding the Fourth Proportional to 760.69, 1,142.34 and 469.91

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Solution

The fourth proportional to 760.69, 1,142.34 and 469.91 is: 705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.69 : 1,142.34 = 469.91 : x
  2. Step 2: Convert to fraction form
    760.69/1,142.34 = 469.91/x
  3. Step 3: Cross multiply
    760.69x = 1,142.34 × 469.91
  4. Step 4: Simplify right side
    760.69x = 536,794.64
  5. Step 5: Solve for x
    x = 536,794.64/760.69
  6. Step 6: Final answer
    x = 705.67

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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.