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Finding the Fourth Proportional to 569.19, 785.15 and 370.08

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Solution

The fourth proportional to 569.19, 785.15 and 370.08 is: 510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.19 : 785.15 = 370.08 : x
  2. Step 2: Convert to fraction form
    569.19/785.15 = 370.08/x
  3. Step 3: Cross multiply
    569.19x = 785.15 × 370.08
  4. Step 4: Simplify right side
    569.19x = 290,564.39
  5. Step 5: Solve for x
    x = 290,564.39/569.19
  6. Step 6: Final answer
    x = 510.49

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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.