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Finding the Fourth Proportional to 657.19, 904.58 and 545.41

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Solution

The fourth proportional to 657.19, 904.58 and 545.41 is: 750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.19 : 904.58 = 545.41 : x
  2. Step 2: Convert to fraction form
    657.19/904.58 = 545.41/x
  3. Step 3: Cross multiply
    657.19x = 904.58 × 545.41
  4. Step 4: Simplify right side
    657.19x = 493,366.98
  5. Step 5: Solve for x
    x = 493,366.98/657.19
  6. Step 6: Final answer
    x = 750.72

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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.