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Finding the Fourth Proportional to 929.06, 1,281.51 and 707.52

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Solution

The fourth proportional to 929.06, 1,281.51 and 707.52 is: 975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.06 : 1,281.51 = 707.52 : x
  2. Step 2: Convert to fraction form
    929.06/1,281.51 = 707.52/x
  3. Step 3: Cross multiply
    929.06x = 1,281.51 × 707.52
  4. Step 4: Simplify right side
    929.06x = 906,693.96
  5. Step 5: Solve for x
    x = 906,693.96/929.06
  6. Step 6: Final answer
    x = 975.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.