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Finding the Fourth Proportional to 660.90, 913.64 and 504.30

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Solution

The fourth proportional to 660.90, 913.64 and 504.30 is: 697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.90 : 913.64 = 504.30 : x
  2. Step 2: Convert to fraction form
    660.90/913.64 = 504.30/x
  3. Step 3: Cross multiply
    660.90x = 913.64 × 504.30
  4. Step 4: Simplify right side
    660.90x = 460,746.13
  5. Step 5: Solve for x
    x = 460,746.13/660.90
  6. Step 6: Final answer
    x = 697.15

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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.