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Finding the Fourth Proportional to 540.12, 745.53 and 392.76

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Solution

The fourth proportional to 540.12, 745.53 and 392.76 is: 542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.12 : 745.53 = 392.76 : x
  2. Step 2: Convert to fraction form
    540.12/745.53 = 392.76/x
  3. Step 3: Cross multiply
    540.12x = 745.53 × 392.76
  4. Step 4: Simplify right side
    540.12x = 292,814.36
  5. Step 5: Solve for x
    x = 292,814.36/540.12
  6. Step 6: Final answer
    x = 542.13

Related Problems

Find fourth proportional to 270.06, 372.77 and 196.38
Half scale
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Double scale
Find fourth proportional to 541.12, 746.91 and 393.76
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1.5x scale

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.