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Finding the Fourth Proportional to 760.67, 1,141 and 435.81

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Solution

The fourth proportional to 760.67, 1,141 and 435.81 is: 653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.67 : 1,141 = 435.81 : x
  2. Step 2: Convert to fraction form
    760.67/1,141 = 435.81/x
  3. Step 3: Cross multiply
    760.67x = 1,141 × 435.81
  4. Step 4: Simplify right side
    760.67x = 497,259.21
  5. Step 5: Solve for x
    x = 497,259.21/760.67
  6. Step 6: Final answer
    x = 653.71

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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.