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Finding the Fourth Proportional to 897.63, 1,237.64 and 664.35

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Solution

The fourth proportional to 897.63, 1,237.64 and 664.35 is: 915.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.63 : 1,237.64 = 664.35 : x
  2. Step 2: Convert to fraction form
    897.63/1,237.64 = 664.35/x
  3. Step 3: Cross multiply
    897.63x = 1,237.64 × 664.35
  4. Step 4: Simplify right side
    897.63x = 822,222.81
  5. Step 5: Solve for x
    x = 822,222.81/897.63
  6. Step 6: Final answer
    x = 915.99

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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.