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Finding the Fourth Proportional to 917.48, 1,376.71 and 430.54

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Solution

The fourth proportional to 917.48, 1,376.71 and 430.54 is: 646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.48 : 1,376.71 = 430.54 : x
  2. Step 2: Convert to fraction form
    917.48/1,376.71 = 430.54/x
  3. Step 3: Cross multiply
    917.48x = 1,376.71 × 430.54
  4. Step 4: Simplify right side
    917.48x = 592,721.84
  5. Step 5: Solve for x
    x = 592,721.84/917.48
  6. Step 6: Final answer
    x = 646.03

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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.