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Finding the Fourth Proportional to 561.48, 841.91 and 431.16

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Solution

The fourth proportional to 561.48, 841.91 and 431.16 is: 646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.48 : 841.91 = 431.16 : x
  2. Step 2: Convert to fraction form
    561.48/841.91 = 431.16/x
  3. Step 3: Cross multiply
    561.48x = 841.91 × 431.16
  4. Step 4: Simplify right side
    561.48x = 362,995.76
  5. Step 5: Solve for x
    x = 362,995.76/561.48
  6. Step 6: Final answer
    x = 646.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.