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Finding the Fourth Proportional to 586.90, 880.62 and 577.18

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Solution

The fourth proportional to 586.90, 880.62 and 577.18 is: 866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 880.62 = 577.18 : x
  2. Step 2: Convert to fraction form
    586.90/880.62 = 577.18/x
  3. Step 3: Cross multiply
    586.90x = 880.62 × 577.18
  4. Step 4: Simplify right side
    586.90x = 508,276.25
  5. Step 5: Solve for x
    x = 508,276.25/586.90
  6. Step 6: Final answer
    x = 866.04

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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.