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Finding the Fourth Proportional to 586.63, 880.48 and 312.95

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Solution

The fourth proportional to 586.63, 880.48 and 312.95 is: 469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.63 : 880.48 = 312.95 : x
  2. Step 2: Convert to fraction form
    586.63/880.48 = 312.95/x
  3. Step 3: Cross multiply
    586.63x = 880.48 × 312.95
  4. Step 4: Simplify right side
    586.63x = 275,547.63
  5. Step 5: Solve for x
    x = 275,547.63/586.63
  6. Step 6: Final answer
    x = 469.71

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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.