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Finding the Fourth Proportional to 761.31, 1,050.53 and 466.52

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Solution

The fourth proportional to 761.31, 1,050.53 and 466.52 is: 643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.31 : 1,050.53 = 466.52 : x
  2. Step 2: Convert to fraction form
    761.31/1,050.53 = 466.52/x
  3. Step 3: Cross multiply
    761.31x = 1,050.53 × 466.52
  4. Step 4: Simplify right side
    761.31x = 490,085.67
  5. Step 5: Solve for x
    x = 490,085.67/761.31
  6. Step 6: Final answer
    x = 643.74

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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.