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Finding the Fourth Proportional to 1,035.84, 1,430.40 and 802.56

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Solution

The fourth proportional to 1,035.84, 1,430.40 and 802.56 is: 1,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.84 : 1,430.40 = 802.56 : x
  2. Step 2: Convert to fraction form
    1,035.84/1,430.40 = 802.56/x
  3. Step 3: Cross multiply
    1,035.84x = 1,430.40 × 802.56
  4. Step 4: Simplify right side
    1,035.84x = 1,147,981.82
  5. Step 5: Solve for x
    x = 1,147,981.82/1,035.84
  6. Step 6: Final answer
    x = 1,108.26

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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.