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Finding the Fourth Proportional to 876.16, 1,206.48 and 690.40

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Solution

The fourth proportional to 876.16, 1,206.48 and 690.40 is: 950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.16 : 1,206.48 = 690.40 : x
  2. Step 2: Convert to fraction form
    876.16/1,206.48 = 690.40/x
  3. Step 3: Cross multiply
    876.16x = 1,206.48 × 690.40
  4. Step 4: Simplify right side
    876.16x = 832,953.79
  5. Step 5: Solve for x
    x = 832,953.79/876.16
  6. Step 6: Final answer
    x = 950.69

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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.