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Finding the Fourth Proportional to 673.36, 928.72 and 507.60

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Solution

The fourth proportional to 673.36, 928.72 and 507.60 is: 700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.36 : 928.72 = 507.60 : x
  2. Step 2: Convert to fraction form
    673.36/928.72 = 507.60/x
  3. Step 3: Cross multiply
    673.36x = 928.72 × 507.60
  4. Step 4: Simplify right side
    673.36x = 471,418.27
  5. Step 5: Solve for x
    x = 471,418.27/673.36
  6. Step 6: Final answer
    x = 700.10

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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.