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Finding the Fourth Proportional to 761.50, 1,050.87 and 466.76

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Solution

The fourth proportional to 761.50, 1,050.87 and 466.76 is: 644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.50 : 1,050.87 = 466.76 : x
  2. Step 2: Convert to fraction form
    761.50/1,050.87 = 466.76/x
  3. Step 3: Cross multiply
    761.50x = 1,050.87 × 466.76
  4. Step 4: Simplify right side
    761.50x = 490,508.46
  5. Step 5: Solve for x
    x = 490,508.46/761.50
  6. Step 6: Final answer
    x = 644.13

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1.5x scale

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.