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Finding the Fourth Proportional to 1,059.53, 1,587.38 and 510.93

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Solution

The fourth proportional to 1,059.53, 1,587.38 and 510.93 is: 765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.53 : 1,587.38 = 510.93 : x
  2. Step 2: Convert to fraction form
    1,059.53/1,587.38 = 510.93/x
  3. Step 3: Cross multiply
    1,059.53x = 1,587.38 × 510.93
  4. Step 4: Simplify right side
    1,059.53x = 811,037.51
  5. Step 5: Solve for x
    x = 811,037.51/1,059.53
  6. Step 6: Final answer
    x = 765.47

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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.