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Finding the Fourth Proportional to 586.72, 873.20 and 584.88

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Solution

The fourth proportional to 586.72, 873.20 and 584.88 is: 870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.72 : 873.20 = 584.88 : x
  2. Step 2: Convert to fraction form
    586.72/873.20 = 584.88/x
  3. Step 3: Cross multiply
    586.72x = 873.20 × 584.88
  4. Step 4: Simplify right side
    586.72x = 510,717.22
  5. Step 5: Solve for x
    x = 510,717.22/586.72
  6. Step 6: Final answer
    x = 870.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.