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Finding the Fourth Proportional to 897.14, 1,237.88 and 566.02

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Solution

The fourth proportional to 897.14, 1,237.88 and 566.02 is: 781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.14 : 1,237.88 = 566.02 : x
  2. Step 2: Convert to fraction form
    897.14/1,237.88 = 566.02/x
  3. Step 3: Cross multiply
    897.14x = 1,237.88 × 566.02
  4. Step 4: Simplify right side
    897.14x = 700,667.80
  5. Step 5: Solve for x
    x = 700,667.80/897.14
  6. Step 6: Final answer
    x = 781.00

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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.