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Finding the Fourth Proportional to 803.51, 1,109.13 and 570.23

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Solution

The fourth proportional to 803.51, 1,109.13 and 570.23 is: 787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.51 : 1,109.13 = 570.23 : x
  2. Step 2: Convert to fraction form
    803.51/1,109.13 = 570.23/x
  3. Step 3: Cross multiply
    803.51x = 1,109.13 × 570.23
  4. Step 4: Simplify right side
    803.51x = 632,459.20
  5. Step 5: Solve for x
    x = 632,459.20/803.51
  6. Step 6: Final answer
    x = 787.12

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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.