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Finding the Fourth Proportional to 457.47, 689.49 and 431.01

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Solution

The fourth proportional to 457.47, 689.49 and 431.01 is: 649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.47 : 689.49 = 431.01 : x
  2. Step 2: Convert to fraction form
    457.47/689.49 = 431.01/x
  3. Step 3: Cross multiply
    457.47x = 689.49 × 431.01
  4. Step 4: Simplify right side
    457.47x = 297,177.08
  5. Step 5: Solve for x
    x = 297,177.08/457.47
  6. Step 6: Final answer
    x = 649.61

Related Problems

Find fourth proportional to 228.74, 344.75 and 215.51
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.