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Finding the Fourth Proportional to 569.22, 784.71 and 458.70

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Solution

The fourth proportional to 569.22, 784.71 and 458.70 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.22 : 784.71 = 458.70 : x
  2. Step 2: Convert to fraction form
    569.22/784.71 = 458.70/x
  3. Step 3: Cross multiply
    569.22x = 784.71 × 458.70
  4. Step 4: Simplify right side
    569.22x = 359,946.48
  5. Step 5: Solve for x
    x = 359,946.48/569.22
  6. Step 6: Final answer
    x = 632.35

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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.