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Finding the Fourth Proportional to 821.29, 1,133.11 and 510.77

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Solution

The fourth proportional to 821.29, 1,133.11 and 510.77 is: 704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.29 : 1,133.11 = 510.77 : x
  2. Step 2: Convert to fraction form
    821.29/1,133.11 = 510.77/x
  3. Step 3: Cross multiply
    821.29x = 1,133.11 × 510.77
  4. Step 4: Simplify right side
    821.29x = 578,756.04
  5. Step 5: Solve for x
    x = 578,756.04/821.29
  6. Step 6: Final answer
    x = 704.69

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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.