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Finding the Fourth Proportional to 569.02, 785.16 and 320.35

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Solution

The fourth proportional to 569.02, 785.16 and 320.35 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.02 : 785.16 = 320.35 : x
  2. Step 2: Convert to fraction form
    569.02/785.16 = 320.35/x
  3. Step 3: Cross multiply
    569.02x = 785.16 × 320.35
  4. Step 4: Simplify right side
    569.02x = 251,526.01
  5. Step 5: Solve for x
    x = 251,526.01/569.02
  6. Step 6: Final answer
    x = 442.03

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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.