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Finding the Fourth Proportional to 660.18, 990.02 and 477.02

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Solution

The fourth proportional to 660.18, 990.02 and 477.02 is: 715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.18 : 990.02 = 477.02 : x
  2. Step 2: Convert to fraction form
    660.18/990.02 = 477.02/x
  3. Step 3: Cross multiply
    660.18x = 990.02 × 477.02
  4. Step 4: Simplify right side
    660.18x = 472,259.34
  5. Step 5: Solve for x
    x = 472,259.34/660.18
  6. Step 6: Final answer
    x = 715.35

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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.