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Finding the Fourth Proportional to 897.58, 1,335.52 and 875.26

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Solution

The fourth proportional to 897.58, 1,335.52 and 875.26 is: 1,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.58 : 1,335.52 = 875.26 : x
  2. Step 2: Convert to fraction form
    897.58/1,335.52 = 875.26/x
  3. Step 3: Cross multiply
    897.58x = 1,335.52 × 875.26
  4. Step 4: Simplify right side
    897.58x = 1,168,927.24
  5. Step 5: Solve for x
    x = 1,168,927.24/897.58
  6. Step 6: Final answer
    x = 1,302.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.