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Finding the Fourth Proportional to 584.70, 870.78 and 569.28

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Solution

The fourth proportional to 584.70, 870.78 and 569.28 is: 847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.70 : 870.78 = 569.28 : x
  2. Step 2: Convert to fraction form
    584.70/870.78 = 569.28/x
  3. Step 3: Cross multiply
    584.70x = 870.78 × 569.28
  4. Step 4: Simplify right side
    584.70x = 495,717.64
  5. Step 5: Solve for x
    x = 495,717.64/584.70
  6. Step 6: Final answer
    x = 847.82

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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.