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Finding the Fourth Proportional to 569.26, 848.40 and 564.46

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Solution

The fourth proportional to 569.26, 848.40 and 564.46 is: 841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.26 : 848.40 = 564.46 : x
  2. Step 2: Convert to fraction form
    569.26/848.40 = 564.46/x
  3. Step 3: Cross multiply
    569.26x = 848.40 × 564.46
  4. Step 4: Simplify right side
    569.26x = 478,887.86
  5. Step 5: Solve for x
    x = 478,887.86/569.26
  6. Step 6: Final answer
    x = 841.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.