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Finding the Fourth Proportional to 543.61, 749.86 and 507.16

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Solution

The fourth proportional to 543.61, 749.86 and 507.16 is: 699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.61 : 749.86 = 507.16 : x
  2. Step 2: Convert to fraction form
    543.61/749.86 = 507.16/x
  3. Step 3: Cross multiply
    543.61x = 749.86 × 507.16
  4. Step 4: Simplify right side
    543.61x = 380,298.67
  5. Step 5: Solve for x
    x = 380,298.67/543.61
  6. Step 6: Final answer
    x = 699.58

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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.