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Finding the Fourth Proportional to 707.42, 1,060.50 and 433.64

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Solution

The fourth proportional to 707.42, 1,060.50 and 433.64 is: 650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.42 : 1,060.50 = 433.64 : x
  2. Step 2: Convert to fraction form
    707.42/1,060.50 = 433.64/x
  3. Step 3: Cross multiply
    707.42x = 1,060.50 × 433.64
  4. Step 4: Simplify right side
    707.42x = 459,875.22
  5. Step 5: Solve for x
    x = 459,875.22/707.42
  6. Step 6: Final answer
    x = 650.07

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Why These Related Problems?

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