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Finding the Fourth Proportional to 690.28, 953.86 and 590.68

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Solution

The fourth proportional to 690.28, 953.86 and 590.68 is: 816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.28 : 953.86 = 590.68 : x
  2. Step 2: Convert to fraction form
    690.28/953.86 = 590.68/x
  3. Step 3: Cross multiply
    690.28x = 953.86 × 590.68
  4. Step 4: Simplify right side
    690.28x = 563,426.02
  5. Step 5: Solve for x
    x = 563,426.02/690.28
  6. Step 6: Final answer
    x = 816.23

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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.