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Finding the Fourth Proportional to 690.97, 1,036.15 and 430.58

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Solution

The fourth proportional to 690.97, 1,036.15 and 430.58 is: 645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.97 : 1,036.15 = 430.58 : x
  2. Step 2: Convert to fraction form
    690.97/1,036.15 = 430.58/x
  3. Step 3: Cross multiply
    690.97x = 1,036.15 × 430.58
  4. Step 4: Simplify right side
    690.97x = 446,145.47
  5. Step 5: Solve for x
    x = 446,145.47/690.97
  6. Step 6: Final answer
    x = 645.68

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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.