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Finding the Fourth Proportional to 897.18, 1,237.88 and 524.17

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Solution

The fourth proportional to 897.18, 1,237.88 and 524.17 is: 723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.18 : 1,237.88 = 524.17 : x
  2. Step 2: Convert to fraction form
    897.18/1,237.88 = 524.17/x
  3. Step 3: Cross multiply
    897.18x = 1,237.88 × 524.17
  4. Step 4: Simplify right side
    897.18x = 648,862.42
  5. Step 5: Solve for x
    x = 648,862.42/897.18
  6. Step 6: Final answer
    x = 723.23

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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.