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Finding the Fourth Proportional to 584.08, 870.04 and 564.10

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Solution

The fourth proportional to 584.08, 870.04 and 564.10 is: 840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.08 : 870.04 = 564.10 : x
  2. Step 2: Convert to fraction form
    584.08/870.04 = 564.10/x
  3. Step 3: Cross multiply
    584.08x = 870.04 × 564.10
  4. Step 4: Simplify right side
    584.08x = 490,788.09
  5. Step 5: Solve for x
    x = 490,788.09/584.08
  6. Step 6: Final answer
    x = 840.28

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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.