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Finding the Fourth Proportional to 501.86, 749.07 and 420.98

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Solution

The fourth proportional to 501.86, 749.07 and 420.98 is: 628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.86 : 749.07 = 420.98 : x
  2. Step 2: Convert to fraction form
    501.86/749.07 = 420.98/x
  3. Step 3: Cross multiply
    501.86x = 749.07 × 420.98
  4. Step 4: Simplify right side
    501.86x = 315,341.38
  5. Step 5: Solve for x
    x = 315,341.38/501.86
  6. Step 6: Final answer
    x = 628.35

Related Problems

Find fourth proportional to 250.93, 374.53 and 210.49
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.