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Finding the Fourth Proportional to 586.35, 880.73 and 465.45

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Solution

The fourth proportional to 586.35, 880.73 and 465.45 is: 699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.35 : 880.73 = 465.45 : x
  2. Step 2: Convert to fraction form
    586.35/880.73 = 465.45/x
  3. Step 3: Cross multiply
    586.35x = 880.73 × 465.45
  4. Step 4: Simplify right side
    586.35x = 409,935.78
  5. Step 5: Solve for x
    x = 409,935.78/586.35
  6. Step 6: Final answer
    x = 699.13

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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.