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Finding the Fourth Proportional to 948.04, 1,307.82 and 637

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Solution

The fourth proportional to 948.04, 1,307.82 and 637 is: 878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.04 : 1,307.82 = 637 : x
  2. Step 2: Convert to fraction form
    948.04/1,307.82 = 637/x
  3. Step 3: Cross multiply
    948.04x = 1,307.82 × 637
  4. Step 4: Simplify right side
    948.04x = 833,081.34
  5. Step 5: Solve for x
    x = 833,081.34/948.04
  6. Step 6: Final answer
    x = 878.74

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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.