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Finding the Fourth Proportional to 569.72, 785.16 and 451.40

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Solution

The fourth proportional to 569.72, 785.16 and 451.40 is: 622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.72 : 785.16 = 451.40 : x
  2. Step 2: Convert to fraction form
    569.72/785.16 = 451.40/x
  3. Step 3: Cross multiply
    569.72x = 785.16 × 451.40
  4. Step 4: Simplify right side
    569.72x = 354,421.22
  5. Step 5: Solve for x
    x = 354,421.22/569.72
  6. Step 6: Final answer
    x = 622.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.