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Finding the Fourth Proportional to 548.48, 757.68 and 430.76

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Solution

The fourth proportional to 548.48, 757.68 and 430.76 is: 595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.48 : 757.68 = 430.76 : x
  2. Step 2: Convert to fraction form
    548.48/757.68 = 430.76/x
  3. Step 3: Cross multiply
    548.48x = 757.68 × 430.76
  4. Step 4: Simplify right side
    548.48x = 326,378.24
  5. Step 5: Solve for x
    x = 326,378.24/548.48
  6. Step 6: Final answer
    x = 595.06

Related Problems

Find fourth proportional to 274.24, 378.84 and 215.38
Half scale
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Double scale
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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.