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Finding the Fourth Proportional to 867.23, 1,197.02 and 690.50

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Solution

The fourth proportional to 867.23, 1,197.02 and 690.50 is: 953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.23 : 1,197.02 = 690.50 : x
  2. Step 2: Convert to fraction form
    867.23/1,197.02 = 690.50/x
  3. Step 3: Cross multiply
    867.23x = 1,197.02 × 690.50
  4. Step 4: Simplify right side
    867.23x = 826,547.03
  5. Step 5: Solve for x
    x = 826,547.03/867.23
  6. Step 6: Final answer
    x = 953.09

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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.