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Finding the Fourth Proportional to 897.80, 1,239.41 and 566.74

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Solution

The fourth proportional to 897.80, 1,239.41 and 566.74 is: 782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.80 : 1,239.41 = 566.74 : x
  2. Step 2: Convert to fraction form
    897.80/1,239.41 = 566.74/x
  3. Step 3: Cross multiply
    897.80x = 1,239.41 × 566.74
  4. Step 4: Simplify right side
    897.80x = 702,423.22
  5. Step 5: Solve for x
    x = 702,423.22/897.80
  6. Step 6: Final answer
    x = 782.38

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1.5x scale

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.