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Finding the Fourth Proportional to 761.04, 1,137.10 and 562.54

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Solution

The fourth proportional to 761.04, 1,137.10 and 562.54 is: 840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.04 : 1,137.10 = 562.54 : x
  2. Step 2: Convert to fraction form
    761.04/1,137.10 = 562.54/x
  3. Step 3: Cross multiply
    761.04x = 1,137.10 × 562.54
  4. Step 4: Simplify right side
    761.04x = 639,658.55
  5. Step 5: Solve for x
    x = 639,658.55/761.04
  6. Step 6: Final answer
    x = 840.51

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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.