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Finding the Fourth Proportional to 690.81, 953.51 and 407.48

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Solution

The fourth proportional to 690.81, 953.51 and 407.48 is: 562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.81 : 953.51 = 407.48 : x
  2. Step 2: Convert to fraction form
    690.81/953.51 = 407.48/x
  3. Step 3: Cross multiply
    690.81x = 953.51 × 407.48
  4. Step 4: Simplify right side
    690.81x = 388,536.25
  5. Step 5: Solve for x
    x = 388,536.25/690.81
  6. Step 6: Final answer
    x = 562.44

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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.