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Finding the Fourth Proportional to 691.50, 955.06 and 470.08

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Solution

The fourth proportional to 691.50, 955.06 and 470.08 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.50 : 955.06 = 470.08 : x
  2. Step 2: Convert to fraction form
    691.50/955.06 = 470.08/x
  3. Step 3: Cross multiply
    691.50x = 955.06 × 470.08
  4. Step 4: Simplify right side
    691.50x = 448,954.60
  5. Step 5: Solve for x
    x = 448,954.60/691.50
  6. Step 6: Final answer
    x = 649.25

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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.