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Finding the Fourth Proportional to 760, 1,134.38 and 741.58

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Solution

The fourth proportional to 760, 1,134.38 and 741.58 is: 1,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    760 : 1,134.38 = 741.58 : x
  2. Step 2: Convert to fraction form
    760/1,134.38 = 741.58/x
  3. Step 3: Cross multiply
    760x = 1,134.38 × 741.58
  4. Step 4: Simplify right side
    760x = 841,233.52
  5. Step 5: Solve for x
    x = 841,233.52/760
  6. Step 6: Final answer
    x = 1,106.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.