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Finding the Fourth Proportional to 582.63, 870.04 and 479.62

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Solution

The fourth proportional to 582.63, 870.04 and 479.62 is: 716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.63 : 870.04 = 479.62 : x
  2. Step 2: Convert to fraction form
    582.63/870.04 = 479.62/x
  3. Step 3: Cross multiply
    582.63x = 870.04 × 479.62
  4. Step 4: Simplify right side
    582.63x = 417,288.58
  5. Step 5: Solve for x
    x = 417,288.58/582.63
  6. Step 6: Final answer
    x = 716.22

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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.