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Finding the Fourth Proportional to 897.54, 1,237.76 and 582.46

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Solution

The fourth proportional to 897.54, 1,237.76 and 582.46 is: 803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.54 : 1,237.76 = 582.46 : x
  2. Step 2: Convert to fraction form
    897.54/1,237.76 = 582.46/x
  3. Step 3: Cross multiply
    897.54x = 1,237.76 × 582.46
  4. Step 4: Simplify right side
    897.54x = 720,952.11
  5. Step 5: Solve for x
    x = 720,952.11/897.54
  6. Step 6: Final answer
    x = 803.26

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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.