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Finding the Fourth Proportional to 582.64, 870.64 and 427.52

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Solution

The fourth proportional to 582.64, 870.64 and 427.52 is: 638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 870.64 = 427.52 : x
  2. Step 2: Convert to fraction form
    582.64/870.64 = 427.52/x
  3. Step 3: Cross multiply
    582.64x = 870.64 × 427.52
  4. Step 4: Simplify right side
    582.64x = 372,216.01
  5. Step 5: Solve for x
    x = 372,216.01/582.64
  6. Step 6: Final answer
    x = 638.84

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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.