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Finding the Fourth Proportional to 501.90, 750.84 and 434.16

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Solution

The fourth proportional to 501.90, 750.84 and 434.16 is: 649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.90 : 750.84 = 434.16 : x
  2. Step 2: Convert to fraction form
    501.90/750.84 = 434.16/x
  3. Step 3: Cross multiply
    501.90x = 750.84 × 434.16
  4. Step 4: Simplify right side
    501.90x = 325,984.69
  5. Step 5: Solve for x
    x = 325,984.69/501.90
  6. Step 6: Final answer
    x = 649.50

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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.