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Finding the Fourth Proportional to 760.49, 1,048.93 and 643.24

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Solution

The fourth proportional to 760.49, 1,048.93 and 643.24 is: 887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.49 : 1,048.93 = 643.24 : x
  2. Step 2: Convert to fraction form
    760.49/1,048.93 = 643.24/x
  3. Step 3: Cross multiply
    760.49x = 1,048.93 × 643.24
  4. Step 4: Simplify right side
    760.49x = 674,708.49
  5. Step 5: Solve for x
    x = 674,708.49/760.49
  6. Step 6: Final answer
    x = 887.21

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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.