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Finding the Fourth Proportional to 690.54, 953.03 and 407.03

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Solution

The fourth proportional to 690.54, 953.03 and 407.03 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.54 : 953.03 = 407.03 : x
  2. Step 2: Convert to fraction form
    690.54/953.03 = 407.03/x
  3. Step 3: Cross multiply
    690.54x = 953.03 × 407.03
  4. Step 4: Simplify right side
    690.54x = 387,905.00
  5. Step 5: Solve for x
    x = 387,905.00/690.54
  6. Step 6: Final answer
    x = 561.74

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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.