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Finding the Fourth Proportional to 707.11, 1,061.35 and 433.74

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Solution

The fourth proportional to 707.11, 1,061.35 and 433.74 is: 651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.11 : 1,061.35 = 433.74 : x
  2. Step 2: Convert to fraction form
    707.11/1,061.35 = 433.74/x
  3. Step 3: Cross multiply
    707.11x = 1,061.35 × 433.74
  4. Step 4: Simplify right side
    707.11x = 460,349.95
  5. Step 5: Solve for x
    x = 460,349.95/707.11
  6. Step 6: Final answer
    x = 651.03

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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.