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Finding the Fourth Proportional to 930.70, 1,284.53 and 695.82

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Solution

The fourth proportional to 930.70, 1,284.53 and 695.82 is: 960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.70 : 1,284.53 = 695.82 : x
  2. Step 2: Convert to fraction form
    930.70/1,284.53 = 695.82/x
  3. Step 3: Cross multiply
    930.70x = 1,284.53 × 695.82
  4. Step 4: Simplify right side
    930.70x = 893,798.19
  5. Step 5: Solve for x
    x = 893,798.19/930.70
  6. Step 6: Final answer
    x = 960.36

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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.