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Finding the Fourth Proportional to 709.51, 1,062.72 and 434.77

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Solution

The fourth proportional to 709.51, 1,062.72 and 434.77 is: 651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.51 : 1,062.72 = 434.77 : x
  2. Step 2: Convert to fraction form
    709.51/1,062.72 = 434.77/x
  3. Step 3: Cross multiply
    709.51x = 1,062.72 × 434.77
  4. Step 4: Simplify right side
    709.51x = 462,038.77
  5. Step 5: Solve for x
    x = 462,038.77/709.51
  6. Step 6: Final answer
    x = 651.21

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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.