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Finding the Fourth Proportional to 948.05, 1,307.93 and 685.49

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Solution

The fourth proportional to 948.05, 1,307.93 and 685.49 is: 945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.05 : 1,307.93 = 685.49 : x
  2. Step 2: Convert to fraction form
    948.05/1,307.93 = 685.49/x
  3. Step 3: Cross multiply
    948.05x = 1,307.93 × 685.49
  4. Step 4: Simplify right side
    948.05x = 896,569.51
  5. Step 5: Solve for x
    x = 896,569.51/948.05
  6. Step 6: Final answer
    x = 945.70

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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.