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Finding the Fourth Proportional to 761.61, 1,050.71 and 466.77

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Solution

The fourth proportional to 761.61, 1,050.71 and 466.77 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.61 : 1,050.71 = 466.77 : x
  2. Step 2: Convert to fraction form
    761.61/1,050.71 = 466.77/x
  3. Step 3: Cross multiply
    761.61x = 1,050.71 × 466.77
  4. Step 4: Simplify right side
    761.61x = 490,437.57
  5. Step 5: Solve for x
    x = 490,437.57/761.61
  6. Step 6: Final answer
    x = 643.95

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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.