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Finding the Fourth Proportional to 870.98, 1,307.14 and 524.70

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Solution

The fourth proportional to 870.98, 1,307.14 and 524.70 is: 787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.98 : 1,307.14 = 524.70 : x
  2. Step 2: Convert to fraction form
    870.98/1,307.14 = 524.70/x
  3. Step 3: Cross multiply
    870.98x = 1,307.14 × 524.70
  4. Step 4: Simplify right side
    870.98x = 685,856.36
  5. Step 5: Solve for x
    x = 685,856.36/870.98
  6. Step 6: Final answer
    x = 787.45

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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.