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Finding the Fourth Proportional to 948.00, 1,307.95 and 649.00

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Solution

The fourth proportional to 948.00, 1,307.95 and 649.00 is: 895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.00 : 1,307.95 = 649.00 : x
  2. Step 2: Convert to fraction form
    948.00/1,307.95 = 649.00/x
  3. Step 3: Cross multiply
    948.00x = 1,307.95 × 649.00
  4. Step 4: Simplify right side
    948.00x = 848,852.21
  5. Step 5: Solve for x
    x = 848,852.21/948.00
  6. Step 6: Final answer
    x = 895.41

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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.