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Finding the Fourth Proportional to 690.94, 1,036.68 and 258.13

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Solution

The fourth proportional to 690.94, 1,036.68 and 258.13 is: 387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.94 : 1,036.68 = 258.13 : x
  2. Step 2: Convert to fraction form
    690.94/1,036.68 = 258.13/x
  3. Step 3: Cross multiply
    690.94x = 1,036.68 × 258.13
  4. Step 4: Simplify right side
    690.94x = 267,598.21
  5. Step 5: Solve for x
    x = 267,598.21/690.94
  6. Step 6: Final answer
    x = 387.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.