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Finding the Fourth Proportional to 611.01, 917.46 and 585

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Solution

The fourth proportional to 611.01, 917.46 and 585 is: 878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.01 : 917.46 = 585 : x
  2. Step 2: Convert to fraction form
    611.01/917.46 = 585/x
  3. Step 3: Cross multiply
    611.01x = 917.46 × 585
  4. Step 4: Simplify right side
    611.01x = 536,714.10
  5. Step 5: Solve for x
    x = 536,714.10/611.01
  6. Step 6: Final answer
    x = 878.40

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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.