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Finding the Fourth Proportional to 763.01, 1,145.37 and 435.18

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Solution

The fourth proportional to 763.01, 1,145.37 and 435.18 is: 653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.01 : 1,145.37 = 435.18 : x
  2. Step 2: Convert to fraction form
    763.01/1,145.37 = 435.18/x
  3. Step 3: Cross multiply
    763.01x = 1,145.37 × 435.18
  4. Step 4: Simplify right side
    763.01x = 498,442.12
  5. Step 5: Solve for x
    x = 498,442.12/763.01
  6. Step 6: Final answer
    x = 653.26

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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.