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Finding the Fourth Proportional to 569.98, 785.43 and 373.15

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Solution

The fourth proportional to 569.98, 785.43 and 373.15 is: 514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.98 : 785.43 = 373.15 : x
  2. Step 2: Convert to fraction form
    569.98/785.43 = 373.15/x
  3. Step 3: Cross multiply
    569.98x = 785.43 × 373.15
  4. Step 4: Simplify right side
    569.98x = 293,081.24
  5. Step 5: Solve for x
    x = 293,081.24/569.98
  6. Step 6: Final answer
    x = 514.20

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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.