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Finding the Fourth Proportional to 503.04, 689.64 and 489.60

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Solution

The fourth proportional to 503.04, 689.64 and 489.60 is: 671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.04 : 689.64 = 489.60 : x
  2. Step 2: Convert to fraction form
    503.04/689.64 = 489.60/x
  3. Step 3: Cross multiply
    503.04x = 689.64 × 489.60
  4. Step 4: Simplify right side
    503.04x = 337,647.74
  5. Step 5: Solve for x
    x = 337,647.74/503.04
  6. Step 6: Final answer
    x = 671.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.