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Finding the Fourth Proportional to 897.51, 1,347.00 and 589.31

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Solution

The fourth proportional to 897.51, 1,347.00 and 589.31 is: 884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.51 : 1,347.00 = 589.31 : x
  2. Step 2: Convert to fraction form
    897.51/1,347.00 = 589.31/x
  3. Step 3: Cross multiply
    897.51x = 1,347.00 × 589.31
  4. Step 4: Simplify right side
    897.51x = 793,796.68
  5. Step 5: Solve for x
    x = 793,796.68/897.51
  6. Step 6: Final answer
    x = 884.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.