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Finding the Fourth Proportional to 804.96, 1,111.32 and 510.66

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Solution

The fourth proportional to 804.96, 1,111.32 and 510.66 is: 705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.96 : 1,111.32 = 510.66 : x
  2. Step 2: Convert to fraction form
    804.96/1,111.32 = 510.66/x
  3. Step 3: Cross multiply
    804.96x = 1,111.32 × 510.66
  4. Step 4: Simplify right side
    804.96x = 567,506.67
  5. Step 5: Solve for x
    x = 567,506.67/804.96
  6. Step 6: Final answer
    x = 705.01

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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.