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Finding the Fourth Proportional to 469.58, 702.60 and 315.86

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Solution

The fourth proportional to 469.58, 702.60 and 315.86 is: 472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.58 : 702.60 = 315.86 : x
  2. Step 2: Convert to fraction form
    469.58/702.60 = 315.86/x
  3. Step 3: Cross multiply
    469.58x = 702.60 × 315.86
  4. Step 4: Simplify right side
    469.58x = 221,923.24
  5. Step 5: Solve for x
    x = 221,923.24/469.58
  6. Step 6: Final answer
    x = 472.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.