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Finding the Fourth Proportional to 703.85, 962.69 and 692.51

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Solution

The fourth proportional to 703.85, 962.69 and 692.51 is: 947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.85 : 962.69 = 692.51 : x
  2. Step 2: Convert to fraction form
    703.85/962.69 = 692.51/x
  3. Step 3: Cross multiply
    703.85x = 962.69 × 692.51
  4. Step 4: Simplify right side
    703.85x = 666,664.18
  5. Step 5: Solve for x
    x = 666,664.18/703.85
  6. Step 6: Final answer
    x = 947.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.