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Finding the Fourth Proportional to 704.09, 1,057.65 and 430.35

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Solution

The fourth proportional to 704.09, 1,057.65 and 430.35 is: 646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.09 : 1,057.65 = 430.35 : x
  2. Step 2: Convert to fraction form
    704.09/1,057.65 = 430.35/x
  3. Step 3: Cross multiply
    704.09x = 1,057.65 × 430.35
  4. Step 4: Simplify right side
    704.09x = 455,154.39
  5. Step 5: Solve for x
    x = 455,154.39/704.09
  6. Step 6: Final answer
    x = 646.45

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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.