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Finding the Fourth Proportional to 584.10, 870.69 and 575.19

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Solution

The fourth proportional to 584.10, 870.69 and 575.19 is: 857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.10 : 870.69 = 575.19 : x
  2. Step 2: Convert to fraction form
    584.10/870.69 = 575.19/x
  3. Step 3: Cross multiply
    584.10x = 870.69 × 575.19
  4. Step 4: Simplify right side
    584.10x = 500,812.18
  5. Step 5: Solve for x
    x = 500,812.18/584.10
  6. Step 6: Final answer
    x = 857.41

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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.