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Finding the Fourth Proportional to 897.36, 1,237.96 and 602.80

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Solution

The fourth proportional to 897.36, 1,237.96 and 602.80 is: 831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.36 : 1,237.96 = 602.80 : x
  2. Step 2: Convert to fraction form
    897.36/1,237.96 = 602.80/x
  3. Step 3: Cross multiply
    897.36x = 1,237.96 × 602.80
  4. Step 4: Simplify right side
    897.36x = 746,242.29
  5. Step 5: Solve for x
    x = 746,242.29/897.36
  6. Step 6: Final answer
    x = 831.60

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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.