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Finding the Fourth Proportional to 900.84, 1,349.08 and 611.40

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Solution

The fourth proportional to 900.84, 1,349.08 and 611.40 is: 915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.84 : 1,349.08 = 611.40 : x
  2. Step 2: Convert to fraction form
    900.84/1,349.08 = 611.40/x
  3. Step 3: Cross multiply
    900.84x = 1,349.08 × 611.40
  4. Step 4: Simplify right side
    900.84x = 824,827.51
  5. Step 5: Solve for x
    x = 824,827.51/900.84
  6. Step 6: Final answer
    x = 915.62

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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.