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Finding the Fourth Proportional to 896.76, 1,237.64 and 686.57

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Solution

The fourth proportional to 896.76, 1,237.64 and 686.57 is: 947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.76 : 1,237.64 = 686.57 : x
  2. Step 2: Convert to fraction form
    896.76/1,237.64 = 686.57/x
  3. Step 3: Cross multiply
    896.76x = 1,237.64 × 686.57
  4. Step 4: Simplify right side
    896.76x = 849,716.87
  5. Step 5: Solve for x
    x = 849,716.87/896.76
  6. Step 6: Final answer
    x = 947.54

Related Problems

Find fourth proportional to 448.38, 618.82 and 343.28
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.