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Finding the Fourth Proportional to 743.80, 1,026.06 and 507.64

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Solution

The fourth proportional to 743.80, 1,026.06 and 507.64 is: 700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.80 : 1,026.06 = 507.64 : x
  2. Step 2: Convert to fraction form
    743.80/1,026.06 = 507.64/x
  3. Step 3: Cross multiply
    743.80x = 1,026.06 × 507.64
  4. Step 4: Simplify right side
    743.80x = 520,869.10
  5. Step 5: Solve for x
    x = 520,869.10/743.80
  6. Step 6: Final answer
    x = 700.28

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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.