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Finding the Fourth Proportional to 410.49, 565.70 and 317.07

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Solution

The fourth proportional to 410.49, 565.70 and 317.07 is: 436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 565.70 = 317.07 : x
  2. Step 2: Convert to fraction form
    410.49/565.70 = 317.07/x
  3. Step 3: Cross multiply
    410.49x = 565.70 × 317.07
  4. Step 4: Simplify right side
    410.49x = 179,364.91
  5. Step 5: Solve for x
    x = 179,364.91/410.49
  6. Step 6: Final answer
    x = 436.95

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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.