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Finding the Fourth Proportional to 761.74, 1,145.16 and 601.36

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Solution

The fourth proportional to 761.74, 1,145.16 and 601.36 is: 904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.74 : 1,145.16 = 601.36 : x
  2. Step 2: Convert to fraction form
    761.74/1,145.16 = 601.36/x
  3. Step 3: Cross multiply
    761.74x = 1,145.16 × 601.36
  4. Step 4: Simplify right side
    761.74x = 688,653.42
  5. Step 5: Solve for x
    x = 688,653.42/761.74
  6. Step 6: Final answer
    x = 904.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.