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Finding the Fourth Proportional to 760.86, 1,053.27 and 695.25

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Solution

The fourth proportional to 760.86, 1,053.27 and 695.25 is: 962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.86 : 1,053.27 = 695.25 : x
  2. Step 2: Convert to fraction form
    760.86/1,053.27 = 695.25/x
  3. Step 3: Cross multiply
    760.86x = 1,053.27 × 695.25
  4. Step 4: Simplify right side
    760.86x = 732,285.97
  5. Step 5: Solve for x
    x = 732,285.97/760.86
  6. Step 6: Final answer
    x = 962.45

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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.