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Finding the Fourth Proportional to 945.02, 1,419.16 and 459.02

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Solution

The fourth proportional to 945.02, 1,419.16 and 459.02 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.02 : 1,419.16 = 459.02 : x
  2. Step 2: Convert to fraction form
    945.02/1,419.16 = 459.02/x
  3. Step 3: Cross multiply
    945.02x = 1,419.16 × 459.02
  4. Step 4: Simplify right side
    945.02x = 651,422.82
  5. Step 5: Solve for x
    x = 651,422.82/945.02
  6. Step 6: Final answer
    x = 689.32

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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.