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Finding the Fourth Proportional to 870.33, 1,307.93 and 459.97

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Solution

The fourth proportional to 870.33, 1,307.93 and 459.97 is: 691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.33 : 1,307.93 = 459.97 : x
  2. Step 2: Convert to fraction form
    870.33/1,307.93 = 459.97/x
  3. Step 3: Cross multiply
    870.33x = 1,307.93 × 459.97
  4. Step 4: Simplify right side
    870.33x = 601,608.56
  5. Step 5: Solve for x
    x = 601,608.56/870.33
  6. Step 6: Final answer
    x = 691.24

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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.