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Finding the Fourth Proportional to 687, 1,030.50 and 297

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Solution

The fourth proportional to 687, 1,030.50 and 297 is: 445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    687 : 1,030.50 = 297 : x
  2. Step 2: Convert to fraction form
    687/1,030.50 = 297/x
  3. Step 3: Cross multiply
    687x = 1,030.50 × 297
  4. Step 4: Simplify right side
    687x = 306,058.50
  5. Step 5: Solve for x
    x = 306,058.50/687
  6. Step 6: Final answer
    x = 445.50

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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.