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Finding the Fourth Proportional to 707.86, 1,059.90 and 570.16

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Solution

The fourth proportional to 707.86, 1,059.90 and 570.16 is: 853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.86 : 1,059.90 = 570.16 : x
  2. Step 2: Convert to fraction form
    707.86/1,059.90 = 570.16/x
  3. Step 3: Cross multiply
    707.86x = 1,059.90 × 570.16
  4. Step 4: Simplify right side
    707.86x = 604,312.58
  5. Step 5: Solve for x
    x = 604,312.58/707.86
  6. Step 6: Final answer
    x = 853.72

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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.