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Finding the Fourth Proportional to 495.19, 738.70 and 470.89

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Solution

The fourth proportional to 495.19, 738.70 and 470.89 is: 702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.19 : 738.70 = 470.89 : x
  2. Step 2: Convert to fraction form
    495.19/738.70 = 470.89/x
  3. Step 3: Cross multiply
    495.19x = 738.70 × 470.89
  4. Step 4: Simplify right side
    495.19x = 347,846.44
  5. Step 5: Solve for x
    x = 347,846.44/495.19
  6. Step 6: Final answer
    x = 702.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.