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Finding the Fourth Proportional to 690.92, 953.66 and 470.24

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Solution

The fourth proportional to 690.92, 953.66 and 470.24 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.92 : 953.66 = 470.24 : x
  2. Step 2: Convert to fraction form
    690.92/953.66 = 470.24/x
  3. Step 3: Cross multiply
    690.92x = 953.66 × 470.24
  4. Step 4: Simplify right side
    690.92x = 448,449.08
  5. Step 5: Solve for x
    x = 448,449.08/690.92
  6. Step 6: Final answer
    x = 649.06

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1.5x scale

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.