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Finding the Fourth Proportional to 586.04, 808.70 and 320.46

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Solution

The fourth proportional to 586.04, 808.70 and 320.46 is: 442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.04 : 808.70 = 320.46 : x
  2. Step 2: Convert to fraction form
    586.04/808.70 = 320.46/x
  3. Step 3: Cross multiply
    586.04x = 808.70 × 320.46
  4. Step 4: Simplify right side
    586.04x = 259,156.00
  5. Step 5: Solve for x
    x = 259,156.00/586.04
  6. Step 6: Final answer
    x = 442.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.