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Finding the Fourth Proportional to 525.36, 784.46 and 470.16

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Solution

The fourth proportional to 525.36, 784.46 and 470.16 is: 702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.36 : 784.46 = 470.16 : x
  2. Step 2: Convert to fraction form
    525.36/784.46 = 470.16/x
  3. Step 3: Cross multiply
    525.36x = 784.46 × 470.16
  4. Step 4: Simplify right side
    525.36x = 368,821.71
  5. Step 5: Solve for x
    x = 368,821.71/525.36
  6. Step 6: Final answer
    x = 702.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.