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Finding the Fourth Proportional to 569.16, 783.60 and 444.64

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Solution

The fourth proportional to 569.16, 783.60 and 444.64 is: 612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 783.60 = 444.64 : x
  2. Step 2: Convert to fraction form
    569.16/783.60 = 444.64/x
  3. Step 3: Cross multiply
    569.16x = 783.60 × 444.64
  4. Step 4: Simplify right side
    569.16x = 348,419.90
  5. Step 5: Solve for x
    x = 348,419.90/569.16
  6. Step 6: Final answer
    x = 612.17

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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.