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Finding the Fourth Proportional to 750.08, 1,124.16 and 647.36

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Solution

The fourth proportional to 750.08, 1,124.16 and 647.36 is: 970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.08 : 1,124.16 = 647.36 : x
  2. Step 2: Convert to fraction form
    750.08/1,124.16 = 647.36/x
  3. Step 3: Cross multiply
    750.08x = 1,124.16 × 647.36
  4. Step 4: Simplify right side
    750.08x = 727,736.22
  5. Step 5: Solve for x
    x = 727,736.22/750.08
  6. Step 6: Final answer
    x = 970.21

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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.