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Finding the Fourth Proportional to 1,312.42, 1,970.80 and 802.66

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Solution

The fourth proportional to 1,312.42, 1,970.80 and 802.66 is: 1,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.42 : 1,970.80 = 802.66 : x
  2. Step 2: Convert to fraction form
    1,312.42/1,970.80 = 802.66/x
  3. Step 3: Cross multiply
    1,312.42x = 1,970.80 × 802.66
  4. Step 4: Simplify right side
    1,312.42x = 1,581,882.33
  5. Step 5: Solve for x
    x = 1,581,882.33/1,312.42
  6. Step 6: Final answer
    x = 1,205.32

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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.