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Finding the Fourth Proportional to 470, 702.72 and 459.06

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Solution

The fourth proportional to 470, 702.72 and 459.06 is: 686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470 : 702.72 = 459.06 : x
  2. Step 2: Convert to fraction form
    470/702.72 = 459.06/x
  3. Step 3: Cross multiply
    470x = 702.72 × 459.06
  4. Step 4: Simplify right side
    470x = 322,590.64
  5. Step 5: Solve for x
    x = 322,590.64/470
  6. Step 6: Final answer
    x = 686.36

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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.