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Finding the Fourth Proportional to 945.10, 1,415.80 and 619.48

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Solution

The fourth proportional to 945.10, 1,415.80 and 619.48 is: 928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.10 : 1,415.80 = 619.48 : x
  2. Step 2: Convert to fraction form
    945.10/1,415.80 = 619.48/x
  3. Step 3: Cross multiply
    945.10x = 1,415.80 × 619.48
  4. Step 4: Simplify right side
    945.10x = 877,059.78
  5. Step 5: Solve for x
    x = 877,059.78/945.10
  6. Step 6: Final answer
    x = 928.01

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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.