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Finding the Fourth Proportional to 578.79, 870.62 and 498.60

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Solution

The fourth proportional to 578.79, 870.62 and 498.60 is: 749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.79 : 870.62 = 498.60 : x
  2. Step 2: Convert to fraction form
    578.79/870.62 = 498.60/x
  3. Step 3: Cross multiply
    578.79x = 870.62 × 498.60
  4. Step 4: Simplify right side
    578.79x = 434,088.64
  5. Step 5: Solve for x
    x = 434,088.64/578.79
  6. Step 6: Final answer
    x = 749.99

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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.