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Finding the Fourth Proportional to 661.30, 912.71 and 503.69

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Solution

The fourth proportional to 661.30, 912.71 and 503.69 is: 695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.30 : 912.71 = 503.69 : x
  2. Step 2: Convert to fraction form
    661.30/912.71 = 503.69/x
  3. Step 3: Cross multiply
    661.30x = 912.71 × 503.69
  4. Step 4: Simplify right side
    661.30x = 459,719.60
  5. Step 5: Solve for x
    x = 459,719.60/661.30
  6. Step 6: Final answer
    x = 695.18

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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.