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Finding the Fourth Proportional to 945.40, 1,415.28 and 511.24

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Solution

The fourth proportional to 945.40, 1,415.28 and 511.24 is: 765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.40 : 1,415.28 = 511.24 : x
  2. Step 2: Convert to fraction form
    945.40/1,415.28 = 511.24/x
  3. Step 3: Cross multiply
    945.40x = 1,415.28 × 511.24
  4. Step 4: Simplify right side
    945.40x = 723,547.75
  5. Step 5: Solve for x
    x = 723,547.75/945.40
  6. Step 6: Final answer
    x = 765.34

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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.