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Finding the Fourth Proportional to 760.09, 1,047.54 and 563.26

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Solution

The fourth proportional to 760.09, 1,047.54 and 563.26 is: 776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.09 : 1,047.54 = 563.26 : x
  2. Step 2: Convert to fraction form
    760.09/1,047.54 = 563.26/x
  3. Step 3: Cross multiply
    760.09x = 1,047.54 × 563.26
  4. Step 4: Simplify right side
    760.09x = 590,036.87
  5. Step 5: Solve for x
    x = 590,036.87/760.09
  6. Step 6: Final answer
    x = 776.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.