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Finding the Fourth Proportional to 885.98, 1,223.53 and 730.16

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Solution

The fourth proportional to 885.98, 1,223.53 and 730.16 is: 1,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.98 : 1,223.53 = 730.16 : x
  2. Step 2: Convert to fraction form
    885.98/1,223.53 = 730.16/x
  3. Step 3: Cross multiply
    885.98x = 1,223.53 × 730.16
  4. Step 4: Simplify right side
    885.98x = 893,364.72
  5. Step 5: Solve for x
    x = 893,364.72/885.98
  6. Step 6: Final answer
    x = 1,008.33

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1.5x scale

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.