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Finding the Fourth Proportional to 675.42, 931.28 and 582.02

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Solution

The fourth proportional to 675.42, 931.28 and 582.02 is: 802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 931.28 = 582.02 : x
  2. Step 2: Convert to fraction form
    675.42/931.28 = 582.02/x
  3. Step 3: Cross multiply
    675.42x = 931.28 × 582.02
  4. Step 4: Simplify right side
    675.42x = 542,023.59
  5. Step 5: Solve for x
    x = 542,023.59/675.42
  6. Step 6: Final answer
    x = 802.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.