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Finding the Fourth Proportional to 1,053.96, 1,580.54 and 468.74

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Solution

The fourth proportional to 1,053.96, 1,580.54 and 468.74 is: 702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.96 : 1,580.54 = 468.74 : x
  2. Step 2: Convert to fraction form
    1,053.96/1,580.54 = 468.74/x
  3. Step 3: Cross multiply
    1,053.96x = 1,580.54 × 468.74
  4. Step 4: Simplify right side
    1,053.96x = 740,852.07
  5. Step 5: Solve for x
    x = 740,852.07/1,053.96
  6. Step 6: Final answer
    x = 702.92

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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.