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Finding the Fourth Proportional to 707.56, 1,060.67 and 446.77

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Solution

The fourth proportional to 707.56, 1,060.67 and 446.77 is: 669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.56 : 1,060.67 = 446.77 : x
  2. Step 2: Convert to fraction form
    707.56/1,060.67 = 446.77/x
  3. Step 3: Cross multiply
    707.56x = 1,060.67 × 446.77
  4. Step 4: Simplify right side
    707.56x = 473,870.76
  5. Step 5: Solve for x
    x = 473,870.76/707.56
  6. Step 6: Final answer
    x = 669.72

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