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Finding the Fourth Proportional to 707.76, 1,056.24 and 596.16

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Solution

The fourth proportional to 707.76, 1,056.24 and 596.16 is: 889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.76 : 1,056.24 = 596.16 : x
  2. Step 2: Convert to fraction form
    707.76/1,056.24 = 596.16/x
  3. Step 3: Cross multiply
    707.76x = 1,056.24 × 596.16
  4. Step 4: Simplify right side
    707.76x = 629,688.04
  5. Step 5: Solve for x
    x = 629,688.04/707.76
  6. Step 6: Final answer
    x = 889.69

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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.