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Finding the Fourth Proportional to 1,038.51, 1,432.06 and 802.49

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Solution

The fourth proportional to 1,038.51, 1,432.06 and 802.49 is: 1,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.51 : 1,432.06 = 802.49 : x
  2. Step 2: Convert to fraction form
    1,038.51/1,432.06 = 802.49/x
  3. Step 3: Cross multiply
    1,038.51x = 1,432.06 × 802.49
  4. Step 4: Simplify right side
    1,038.51x = 1,149,213.83
  5. Step 5: Solve for x
    x = 1,149,213.83/1,038.51
  6. Step 6: Final answer
    x = 1,106.60

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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.