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Finding the Fourth Proportional to 948.03, 1,307.54 and 616.57

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Solution

The fourth proportional to 948.03, 1,307.54 and 616.57 is: 850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.03 : 1,307.54 = 616.57 : x
  2. Step 2: Convert to fraction form
    948.03/1,307.54 = 616.57/x
  3. Step 3: Cross multiply
    948.03x = 1,307.54 × 616.57
  4. Step 4: Simplify right side
    948.03x = 806,189.94
  5. Step 5: Solve for x
    x = 806,189.94/948.03
  6. Step 6: Final answer
    x = 850.38

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Half scale
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Double scale
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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.