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Finding the Fourth Proportional to 760.07, 1,048.52 and 654.97

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Solution

The fourth proportional to 760.07, 1,048.52 and 654.97 is: 903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.07 : 1,048.52 = 654.97 : x
  2. Step 2: Convert to fraction form
    760.07/1,048.52 = 654.97/x
  3. Step 3: Cross multiply
    760.07x = 1,048.52 × 654.97
  4. Step 4: Simplify right side
    760.07x = 686,749.14
  5. Step 5: Solve for x
    x = 686,749.14/760.07
  6. Step 6: Final answer
    x = 903.53

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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.